864461232000 has 768 divisors, whose sum is σ = 3237130915200. Its totient is φ = 220803072000.

The previous prime is 864461231969. The next prime is 864461232017. The reversal of 864461232000 is 232164468.

864461232000 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 612 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572111245 + ... + 572112755.

Almost surely, 2^864461232000 is an apocalyptic number.

864461232000 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 864461232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618565457600).

864461232000 is an abundant number, since it is smaller than the sum of its proper divisors (2372669683200).

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

864461232000 is a wasteful number, since it uses less digits than its factorization.

864461232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 864461232000 its reverse (232164468), we get a palindrome (864693396468).

The spelling of 864461232000 in words is "eight hundred sixty-four billion, four hundred sixty-one million, two hundred thirty-two thousand".