4602664664400 has 120 divisors (see below), whose sum is σ = 16084220927904. Its totient is φ = 1115797491200.

The previous prime is 4602664664399. The next prime is 4602664664431. The reversal of 4602664664400 is 44664662064.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4602664664400.

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 23 ways as a sum of consecutive naturals, for example, 174330159 + ... + 174356558.

Almost surely, 2^{4602664664400} is an apocalyptic number.

4602664664400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4602664664400 is an abundant number, since it is smaller than the sum of its proper divisors (11481556263504).

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

4602664664400 is a wasteful number, since it uses less digits than its factorization.

4602664664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348686749 (or 348686738 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 4602664664400 in words is "four trillion, six hundred two billion, six hundred sixty-four million, six hundred sixty-four thousand, four hundred".