864261964800 has 792 divisors, whose sum is σ = 3456252007936. Its totient is φ = 212721500160.

The previous prime is 864261964747. The next prime is 864261964801. The reversal of 864261964800 is 8469162468.

864261964800 is a `hidden beast` number, since 86 + 426 + 1 + 9 + 64 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (864261964801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80865057 + ... + 80875743.

Almost surely, 2^864261964800 is an apocalyptic number.

864261964800 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 864261964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728126003968).

864261964800 is an abundant number, since it is smaller than the sum of its proper divisors (2591990043136).

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

864261964800 is a wasteful number, since it uses less digits than its factorization.

864261964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 864261964800 in words is "eight hundred sixty-four billion, two hundred sixty-one million, nine hundred sixty-four thousand, eight hundred".