7991528601600 has 1152 divisors, whose sum is σ = 30173953118400. Its totient is φ = 2072405606400.

The previous prime is 7991528601599. The next prime is 7991528601629. The reversal of 7991528601600 is 61068251997.

7991528601600 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 5 + 28 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 8179660312 + ... + 8179661288.

Almost surely, 2^{7991528601600} 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 7991528601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086976559200).

7991528601600 is an abundant number, since it is smaller than the sum of its proper divisors (22182424516800).

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

7991528601600 is a wasteful number, since it uses less digits than its factorization.

7991528601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 7991528601600 in words is "seven trillion, nine hundred ninety-one billion, five hundred twenty-eight million, six hundred one thousand, six hundred".