7956006992640 has 864 divisors, whose sum is σ = 32268342951936. Its totient is φ = 1771869634560.

The previous prime is 7956006992621. The next prime is 7956006992651. The reversal of 7956006992640 is 462996006597.

7956006992640 is a `hidden beast` number, since 7 + 9 + 560 + 0 + 6 + 9 + 9 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4784128449 + ... + 4784130111.

Almost surely, 2^{7956006992640} is an apocalyptic number.

7956006992640 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 7956006992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134171475968).

7956006992640 is an abundant number, since it is smaller than the sum of its proper divisors (24312335959296).

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

7956006992640 is a wasteful number, since it uses less digits than its factorization.

7956006992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 7956006992640 in words is "seven trillion, nine hundred fifty-six billion, six million, nine hundred ninety-two thousand, six hundred forty".