8726382792960 has 1152 divisors, whose sum is σ = 36011468021760. Its totient is φ = 1753801555968.

The previous prime is 8726382792887. The next prime is 8726382792989. The reversal of 8726382792960 is 692972836278.

It is a super-2 number, since 2×8726382792960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451923786 + ... + 451943094.

It is an arithmetic number, because the mean of its divisors is an integer number (31259954880).

Almost surely, 2^{8726382792960} is an apocalyptic number.

8726382792960 is a gapful number since it is divisible by the number (80) 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 8726382792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005734010880).

8726382792960 is an abundant number, since it is smaller than the sum of its proper divisors (27285085228800).

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

8726382792960 is a wasteful number, since it uses less digits than its factorization.

8726382792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19423 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 8726382792960 in words is "eight trillion, seven hundred twenty-six billion, three hundred eighty-two million, seven hundred ninety-two thousand, nine hundred sixty".