4768907672160 has 1440 divisors, whose sum is σ = 18549260319744. Its totient is φ = 1152403200000.

The previous prime is 4768907672143. The next prime is 4768907672209. The reversal of 4768907672160 is 612767098674.

4768907672160 is a `hidden beast` number, since 476 + 8 + 90 + 7 + 6 + 72 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18999632035 + ... + 18999632285.

Almost surely, 2^{4768907672160} is an apocalyptic number.

4768907672160 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 4768907672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9274630159872).

4768907672160 is an abundant number, since it is smaller than the sum of its proper divisors (13780352647584).

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

4768907672160 is a wasteful number, since it uses less digits than its factorization.

4768907672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 4768907672160 in words is "four trillion, seven hundred sixty-eight billion, nine hundred seven million, six hundred seventy-two thousand, one hundred sixty".