4677064506765 has 96 divisors (see below), whose sum is σ = 9398864367360. Its totient is φ = 2107247643648.

The previous prime is 4677064506739. The next prime is 4677064506841. The reversal of 4677064506765 is 5676054607764.

4677064506765 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 0 + 64 + 506 + 7 + 65 = 666.

It is not a de Polignac number, because 4677064506765 - 2⁶ = 4677064506701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 31498066 + ... + 31646204.

It is an arithmetic number, because the mean of its divisors is an integer number (97904837160).

Almost surely, 2^{4677064506765} is an apocalyptic number.

4677064506765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4677064506765 is an abundant number, since it is smaller than the sum of its proper divisors (4721799860595).

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

4677064506765 is a wasteful number, since it uses less digits than its factorization.

4677064506765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149603 (or 149600 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 4677064506765 in words is "four trillion, six hundred seventy-seven billion, sixty-four million, five hundred six thousand, seven hundred sixty-five".