7701973972992 has 672 divisors, whose sum is σ = 25128340277040. Its totient is φ = 2344833515520.

The previous prime is 7701973972969. The next prime is 7701973973003. The reversal of 7701973972992 is 2992793791077.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7701973972992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1882660867 + ... + 1882664957.

Almost surely, 2^{7701973972992} is an apocalyptic number.

7701973972992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7701973972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564170138520).

7701973972992 is an abundant number, since it is smaller than the sum of its proper divisors (17426366304048).

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

7701973972992 is an equidigital number, since it uses as much as digits as its factorization.

7701973972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 189035532, while the sum is 72.

The spelling of 7701973972992 in words is "seven trillion, seven hundred one billion, nine hundred seventy-three million, nine hundred seventy-two thousand, nine hundred ninety-two".