862979793793920 has 1920 divisors, whose sum is σ = 3549013545369600. Its totient is φ = 199433821593600.

The previous prime is 862979793793919. The next prime is 862979793793921. The reversal of 862979793793920 is 29397397979268.

862979793793920 is a `hidden beast` number, since 8 + 62 + 9 + 7 + 9 + 7 + 93 + 79 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (862979793793919) and next prime (862979793793921).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862979793793921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13028240161 + ... + 13028306399.

It is an arithmetic number, because the mean of its divisors is an integer number (1848444554880).

Almost surely, 2^{862979793793920} is an apocalyptic number.

862979793793920 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 862979793793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774506772684800).

862979793793920 is an abundant number, since it is smaller than the sum of its proper divisors (2686033751575680).

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

862979793793920 is a wasteful number, since it uses less digits than its factorization.

862979793793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66390 (or 66358 counting only the distinct ones).

The product of its (nonzero) digits is 34998578496, while the sum is 90.

The spelling of 862979793793920 in words is "eight hundred sixty-two trillion, nine hundred seventy-nine billion, seven hundred ninety-three million, seven hundred ninety-three thousand, nine hundred twenty".