7975618560 has 768 divisors, whose sum is σ = 35003404800. Its totient is φ = 1677459456.

The previous prime is 7975618549. The next prime is 7975618591. The reversal of 7975618560 is 658165797.

7975618560 is a `hidden beast` number, since 7 + 9 + 75 + 6 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×7975618560² (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 = 7975618497 and 7975618506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159522 + ... + 25159838.

It is an arithmetic number, because the mean of its divisors is an integer number (45577350).

Almost surely, 2^7975618560 is an apocalyptic number.

7975618560 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 7975618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501702400).

7975618560 is an abundant number, since it is smaller than the sum of its proper divisors (27027786240).

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

7975618560 is a wasteful number, since it uses less digits than its factorization.

7975618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 7975618560 is about 89306.3187014222. The cubic root of 7975618560 is about 1997.9661457529.

The spelling of 7975618560 in words is "seven billion, nine hundred seventy-five million, six hundred eighteen thousand, five hundred sixty".