7993726764660 has 1152 divisors, whose sum is σ = 31005901495296. Its totient is φ = 1622543892480.

The previous prime is 7993726764649. The next prime is 7993726764763. The reversal of 7993726764660 is 664676273997.

7993726764660 is a `hidden beast` number, since 7 + 9 + 93 + 7 + 2 + 6 + 76 + 466 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 9371308794 + ... + 9371309646.

It is an arithmetic number, because the mean of its divisors is an integer number (26914845048).

Almost surely, 2^{7993726764660} is an apocalyptic number.

7993726764660 is a gapful number since it is divisible by the number (70) 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 7993726764660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502950747648).

7993726764660 is an abundant number, since it is smaller than the sum of its proper divisors (23012174730636).

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

7993726764660 is a wasteful number, since it uses less digits than its factorization.

7993726764660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 7993726764660 in words is "seven trillion, nine hundred ninety-three billion, seven hundred twenty-six million, seven hundred sixty-four thousand, six hundred sixty".