7656949166944 has 576 divisors, whose sum is σ = 20769119207424. Its totient is φ = 2695835520000.

The previous prime is 7656949166879. The next prime is 7656949166953. The reversal of 7656949166944 is 4496619496567.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1957796349 + ... + 1957800259.

It is an arithmetic number, because the mean of its divisors is an integer number (36057498624).

Almost surely, 2^{7656949166944} 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 7656949166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384559603712).

7656949166944 is an abundant number, since it is smaller than the sum of its proper divisors (13112170040480).

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

7656949166944 is a wasteful number, since it uses less digits than its factorization.

7656949166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4052 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 76.

The spelling of 7656949166944 in words is "seven trillion, six hundred fifty-six billion, nine hundred forty-nine million, one hundred sixty-six thousand, nine hundred forty-four".