7961029274016 has 1728 divisors, whose sum is σ = 31486421191680. Its totient is φ = 1882284687360.

The previous prime is 7961029273997. The next prime is 7961029274057. The reversal of 7961029274016 is 6104729201697.

7961029274016 is a `hidden beast` number, since 7 + 9 + 610 + 2 + 9 + 2 + 7 + 4 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6477647290 + ... + 6477648518.

It is an arithmetic number, because the mean of its divisors is an integer number (18221308560).

Almost surely, 2^{7961029274016} 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 7961029274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743210595840).

7961029274016 is an abundant number, since it is smaller than the sum of its proper divisors (23525391917664).

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

7961029274016 is a wasteful number, since it uses less digits than its factorization.

7961029274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 7961029274016 in words is "seven trillion, nine hundred sixty-one billion, twenty-nine million, two hundred seventy-four thousand, sixteen".