64315010106765 has 48 divisors (see below), whose sum is σ = 128014565590080. Its totient is φ = 29541822819840.

The previous prime is 64315010106751. The next prime is 64315010106799. The reversal of 64315010106765 is 56760101051346.

64315010106765 is a `hidden beast` number, since 6 + 4 + 31 + 501 + 0 + 106 + 7 + 6 + 5 = 666.

64315010106765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64315010106765 - 2⁸ = 64315010106509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 64315010106765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419183052 + ... + 3419201861.

It is an arithmetic number, because the mean of its divisors is an integer number (2666970116460).

Almost surely, 2^{64315010106765} is an apocalyptic number.

It is an amenable number.

64315010106765 is a deficient number, since it is larger than the sum of its proper divisors (63699555483315).

64315010106765 is a wasteful number, since it uses less digits than its factorization.

64315010106765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838384954 (or 6838384951 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 64315010106765 in words is "sixty-four trillion, three hundred fifteen billion, ten million, one hundred six thousand, seven hundred sixty-five".