4677642866160 has 960 divisors, whose sum is σ = 18421796929536. Its totient is φ = 1092814156800.

The previous prime is 4677642866159. The next prime is 4677642866329. The reversal of 4677642866160 is 616682467764.

It is a happy number.

4677642866160 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 6 + 4 + 2 + 8 + 6 + 616 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1743436179 + ... + 1743438861.

Almost surely, 2^{4677642866160} is an apocalyptic number.

4677642866160 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 4677642866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210898464768).

4677642866160 is an abundant number, since it is smaller than the sum of its proper divisors (13744154063376).

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

4677642866160 is a wasteful number, since it uses less digits than its factorization.

4677642866160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 4677642866160 in words is "four trillion, six hundred seventy-seven billion, six hundred forty-two million, eight hundred sixty-six thousand, one hundred sixty".