4677465556296 has 384 divisors, whose sum is σ = 14492414160000. Its totient is φ = 1396169229312.

The previous prime is 4677465556289. The next prime is 4677465556363. The reversal of 4677465556296 is 6926555647764.

4677465556296 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 4 + 6 + 55 + 562 + 9 + 6 = 666.

It is a super-3 number, since 3×4677465556296³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471371191 + ... + 471381113.

It is an arithmetic number, because the mean of its divisors is an integer number (37740661875).

Almost surely, 2^{4677465556296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677465556296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246207080000).

4677465556296 is an abundant number, since it is smaller than the sum of its proper divisors (9814948603704).

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

4677465556296 is a wasteful number, since it uses less digits than its factorization.

4677465556296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10327 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 4677465556296 in words is "four trillion, six hundred seventy-seven billion, four hundred sixty-five million, five hundred fifty-six thousand, two hundred ninety-six".