7256671618560 has 1280 divisors, whose sum is σ = 29351225401344. Its totient is φ = 1488673308672.

The previous prime is 7256671618549. The next prime is 7256671618561. The reversal of 7256671618560 is 658161766527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×7256671618560² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7256671618494 and 7256671618503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7256671618561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5682592642 + ... + 5682593918.

Almost surely, 2^{7256671618560} is an apocalyptic number.

7256671618560 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 7256671618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675612700672).

7256671618560 is an abundant number, since it is smaller than the sum of its proper divisors (22094553782784).

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

7256671618560 is a wasteful number, since it uses less digits than its factorization.

7256671618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 7256671618560 in words is "seven trillion, two hundred fifty-six billion, six hundred seventy-one million, six hundred eighteen thousand, five hundred sixty".