864713905920 has 576 divisors, whose sum is σ = 3137621760000. Its totient is φ = 228275490816.

The previous prime is 864713905873. The next prime is 864713905949. The reversal of 864713905920 is 29509317468.

864713905920 is a `hidden beast` number, since 8 + 6 + 47 + 1 + 3 + 9 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×864713905920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288332581 + ... + 288335579.

It is an arithmetic number, because the mean of its divisors is an integer number (5447260000).

It is a 1-persistent number, because it is pandigital, but 2⋅864713905920 = 1729427811840 is not.

Almost surely, 2^864713905920 is an apocalyptic number.

864713905920 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 864713905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568810880000).

864713905920 is an abundant number, since it is smaller than the sum of its proper divisors (2272907854080).

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

864713905920 is an equidigital number, since it uses as much as digits as its factorization.

864713905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 864713905920 in words is "eight hundred sixty-four billion, seven hundred thirteen million, nine hundred five thousand, nine hundred twenty".