7956885934080 has 364 divisors, whose sum is σ = 28628250245100. Its totient is φ = 2121832267776.

The previous prime is 7956885934043. The next prime is 7956885934097. The reversal of 7956885934080 is 804395886597.

7956885934080 is a `hidden beast` number, since 7 + 9 + 56 + 8 + 85 + 93 + 408 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6304036294656 + 1652849639424 = 2510784^2 + 1285632^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 14663446 + ... + 15196394.

Almost surely, 2^{7956885934080} 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 7956885934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314125122550).

7956885934080 is an abundant number, since it is smaller than the sum of its proper divisors (20671364311020).

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

7956885934080 is an frugal number, since it uses more digits than its factorization.

7956885934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532996 (or 532959 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 7956885934080 in words is "seven trillion, nine hundred fifty-six billion, eight hundred eighty-five million, nine hundred thirty-four thousand, eighty".