864462896640 has 560 divisors, whose sum is σ = 3551603048928. Its totient is φ = 197588533248.

The previous prime is 864462896639. The next prime is 864462896641. The reversal of 864462896640 is 46698264468.

864462896640 is a `hidden beast` number, since 86 + 4 + 462 + 8 + 96 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (864462896639) and next prime (864462896641).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864462896641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13030594 + ... + 13096766.

Almost surely, 2^864462896640 is an apocalyptic number.

864462896640 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 864462896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775801524464).

864462896640 is an abundant number, since it is smaller than the sum of its proper divisors (2687140152288).

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

864462896640 is an frugal number, since it uses more digits than its factorization.

864462896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66221 (or 66190 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 864462896640 in words is "eight hundred sixty-four billion, four hundred sixty-two million, eight hundred ninety-six thousand, six hundred forty".