7679266560 has 432 divisors, whose sum is σ = 31498661376. Its totient is φ = 1754763264.

The previous prime is 7679266559. The next prime is 7679266561. The reversal of 7679266560 is 656629767.

7679266560 is a `hidden beast` number, since 7 + 6 + 79 + 2 + 6 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7679266559) and next prime (7679266561).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7679266560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7679266497 and 7679266506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7679266561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175517 + ... + 2179043.

It is an arithmetic number, because the mean of its divisors is an integer number (72913568).

Almost surely, 2^7679266560 is an apocalyptic number.

7679266560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7679266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749330688).

7679266560 is an abundant number, since it is smaller than the sum of its proper divisors (23819394816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7679266560 is an equidigital number, since it uses as much as digits as its factorization.

7679266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 7679266560 is about 87631.4245005751. The cubic root of 7679266560 is about 1972.9068512641.

The spelling of 7679266560 in words is "seven billion, six hundred seventy-nine million, two hundred sixty-six thousand, five hundred sixty".