7978911075072 has 432 divisors, whose sum is σ = 26759066880000. Its totient is φ = 2239450177536.

The previous prime is 7978911075061. The next prime is 7978911075103. The reversal of 7978911075072 is 2705701198797.

7978911075072 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 9 + 110 + 7 + 507 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 253532554 + ... + 253564022.

Almost surely, 2^{7978911075072} is an apocalyptic number.

7978911075072 is a gapful number since it is divisible by the number (72) 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 7978911075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379533440000).

7978911075072 is an abundant number, since it is smaller than the sum of its proper divisors (18780155804928).

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

7978911075072 is a wasteful number, since it uses less digits than its factorization.

7978911075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31776 (or 31759 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 63.

The spelling of 7978911075072 in words is "seven trillion, nine hundred seventy-eight billion, nine hundred eleven million, seventy-five thousand, seventy-two".