468046609632 has 96 divisors (see below), whose sum is σ = 1560155385600. Its totient is φ = 133727601024.

The previous prime is 468046609567. The next prime is 468046609633. The reversal of 468046609632 is 236906640864.

468046609632 is a `hidden beast` number, since 4 + 68 + 0 + 466 + 0 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468046609633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38688282 + ... + 38700377.

It is an arithmetic number, because the mean of its divisors is an integer number (16251618600).

Almost surely, 2^468046609632 is an apocalyptic number.

468046609632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468046609632 is an abundant number, since it is smaller than the sum of its proper divisors (1092108775968).

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

468046609632 is a wasteful number, since it uses less digits than its factorization.

468046609632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77388685 (or 77388671 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 468046609632 in words is "four hundred sixty-eight billion, forty-six million, six hundred nine thousand, six hundred thirty-two".