7916074053120 has 960 divisors, whose sum is σ = 29869562511360. Its totient is φ = 1932150620160.

The previous prime is 7916074053119. The next prime is 7916074053131. The reversal of 7916074053120 is 213504706197.

7916074053120 is a `hidden beast` number, since 7 + 9 + 1 + 607 + 4 + 0 + 5 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13041307857 + ... + 13041308463.

It is an arithmetic number, because the mean of its divisors is an integer number (31114127616).

Almost surely, 2^{7916074053120} 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 7916074053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934781255680).

7916074053120 is an abundant number, since it is smaller than the sum of its proper divisors (21953488458240).

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

7916074053120 is an equidigital number, since it uses as much as digits as its factorization.

7916074053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 7916074053120 in words is "seven trillion, nine hundred sixteen billion, seventy-four million, fifty-three thousand, one hundred twenty".