463792500864 has 640 divisors, whose sum is σ = 1725530083200. Its totient is φ = 120136089600.

The previous prime is 463792500863. The next prime is 463792500877. The reversal of 463792500864 is 468005297364.

463792500864 is a `hidden beast` number, since 4 + 6 + 3 + 79 + 2 + 500 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 463792500864.

It is not an unprimeable number, because it can be changed into a prime (463792500863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 454252674 + ... + 454253694.

It is an arithmetic number, because the mean of its divisors is an integer number (2696140755).

Almost surely, 2^463792500864 is an apocalyptic number.

463792500864 is a gapful number since it is divisible by the number (44) 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 463792500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862765041600).

463792500864 is an abundant number, since it is smaller than the sum of its proper divisors (1261737582336).

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

463792500864 is a wasteful number, since it uses less digits than its factorization.

463792500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 463792500864 in words is "four hundred sixty-three billion, seven hundred ninety-two million, five hundred thousand, eight hundred sixty-four".