864714810960 has 3840 divisors, whose sum is σ = 4468513996800. Its totient is φ = 150493593600.

The previous prime is 864714810919. The next prime is 864714810977. The reversal of 864714810960 is 69018417468.

864714810960 is a `hidden beast` number, since 8 + 6 + 4 + 71 + 481 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×864714810960² (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 junction number, because it is equal to n+sod(n) for n = 864714810897 and 864714810906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8914585632 + ... + 8914585728.

It is an arithmetic number, because the mean of its divisors is an integer number (1163675520).

Almost surely, 2^864714810960 is an apocalyptic number.

864714810960 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 864714810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234256998400).

864714810960 is an abundant number, since it is smaller than the sum of its proper divisors (3603799185840).

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

864714810960 is a wasteful number, since it uses less digits than its factorization.

864714810960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 864714810960 in words is "eight hundred sixty-four billion, seven hundred fourteen million, eight hundred ten thousand, nine hundred sixty".