4633456872960 has 120 divisors (see below), whose sum is σ = 16046964390600. Its totient is φ = 1235588493312.

The previous prime is 4633456872949. The next prime is 4633456873021. The reversal of 4633456872960 is 692786543364.

4633456872960 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 4 + 568 + 7 + 2 + 9 + 60 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100529410 + ... + 100575489.

It is an arithmetic number, because the mean of its divisors is an integer number (133724703255).

Almost surely, 2^{4633456872960} is an apocalyptic number.

4633456872960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4633456872960 is an abundant number, since it is smaller than the sum of its proper divisors (11413507517640).

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

4633456872960 is a wasteful number, since it uses less digits than its factorization.

4633456872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201104928 (or 201104909 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 4633456872960 in words is "four trillion, six hundred thirty-three billion, four hundred fifty-six million, eight hundred seventy-two thousand, nine hundred sixty".