7056512640720 has 480 divisors, whose sum is σ = 24102128793600. Its totient is φ = 1849991270400.

The previous prime is 7056512640677. The next prime is 7056512640733. The reversal of 7056512640720 is 270462156507.

7056512640720 is a `hidden beast` number, since 7 + 0 + 5 + 6 + 512 + 64 + 0 + 72 + 0 = 666.

It is a super-2 number, since 2×7056512640720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7745897065 + ... + 7745897975.

It is an arithmetic number, because the mean of its divisors is an integer number (50212768320).

Almost surely, 2^{7056512640720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056512640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051064396800).

7056512640720 is an abundant number, since it is smaller than the sum of its proper divisors (17045616152880).

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

7056512640720 is a wasteful number, since it uses less digits than its factorization.

7056512640720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 7056512640720 in words is "seven trillion, fifty-six billion, five hundred twelve million, six hundred forty thousand, seven hundred twenty".