4632730714160 has 160 divisors (see below), whose sum is σ = 10918551168000. Its totient is φ = 1827944616960.

The previous prime is 4632730714147. The next prime is 4632730714219. The reversal of 4632730714160 is 614170372364.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119285371 + ... + 1119289509.

It is an arithmetic number, because the mean of its divisors is an integer number (68240944800).

Almost surely, 2^{4632730714160} is an apocalyptic number.

4632730714160 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 4632730714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459275584000).

4632730714160 is an abundant number, since it is smaller than the sum of its proper divisors (6285820453840).

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

4632730714160 is a wasteful number, since it uses less digits than its factorization.

4632730714160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 4632730714160 in words is "four trillion, six hundred thirty-two billion, seven hundred thirty million, seven hundred fourteen thousand, one hundred sixty".