4677500120832 has 1800 divisors, whose sum is σ = 18354369116160. Its totient is φ = 1159183872000.

The previous prime is 4677500120819. The next prime is 4677500120873. The reversal of 4677500120832 is 2380210057764.

4677500120832 is a `hidden beast` number, since 4 + 67 + 7 + 500 + 1 + 2 + 0 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 65880283357 + ... + 65880283427.

Almost surely, 2^{4677500120832} is an apocalyptic number.

4677500120832 is a gapful number since it is divisible by the number (42) 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 4677500120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177184558080).

4677500120832 is an abundant number, since it is smaller than the sum of its proper divisors (13676868995328).

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

4677500120832 is an frugal number, since it uses more digits than its factorization.

4677500120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4677500120832 in words is "four trillion, six hundred seventy-seven billion, five hundred million, one hundred twenty thousand, eight hundred thirty-two".