6957748988064 has 1152 divisors, whose sum is σ = 25056625950720. Its totient is φ = 1787907686400.

The previous prime is 6957748988011. The next prime is 6957748988083. The reversal of 6957748988064 is 4608898477596.

6957748988064 is a `hidden beast` number, since 6 + 9 + 5 + 77 + 489 + 8 + 8 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12228029572 + ... + 12228030140.

It is an arithmetic number, because the mean of its divisors is an integer number (21750543360).

Almost surely, 2^{6957748988064} 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 6957748988064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528312975360).

6957748988064 is an abundant number, since it is smaller than the sum of its proper divisors (18098876962656).

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

6957748988064 is a wasteful number, since it uses less digits than its factorization.

6957748988064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 6957748988064 in words is "six trillion, nine hundred fifty-seven billion, seven hundred forty-eight million, nine hundred eighty-eight thousand, sixty-four".