4656847536000 has 3072 divisors, whose sum is σ = 20631850536960. Its totient is φ = 992673792000.

The previous prime is 4656847535999. The next prime is 4656847536053. The reversal of 4656847536000 is 6357486564.

4656847536000 is a `hidden beast` number, since 4 + 6 + 5 + 68 + 47 + 536 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45212111949 + ... + 45212112051.

It is an arithmetic number, because the mean of its divisors is an integer number (6716097180).

Almost surely, 2^{4656847536000} is an apocalyptic number.

4656847536000 is a gapful number since it is divisible by the number (40) 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 4656847536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315925268480).

4656847536000 is an abundant number, since it is smaller than the sum of its proper divisors (15975003000960).

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

4656847536000 is a wasteful number, since it uses less digits than its factorization.

4656847536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4656847536000 in words is "four trillion, six hundred fifty-six billion, eight hundred forty-seven million, five hundred thirty-six thousand".