10737720765 has 24 divisors (see below), whose sum is σ = 18963224280. Its totient is φ = 5618730624.

The previous prime is 10737720739. The next prime is 10737720811. The reversal of 10737720765 is 56702773701.

10737720765 is a `hidden beast` number, since 10 + 7 + 377 + 207 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342287001 + 10395433764 = 18501^2 + 101958^2 .

It is not a de Polignac number, because 10737720765 - 2⁵ = 10737720733 is a prime.

It is a super-2 number, since 2×10737720765² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 10737720765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248710 + ... + 2253479.

It is an arithmetic number, because the mean of its divisors is an integer number (790134345).

Almost surely, 2^10737720765 is an apocalyptic number.

10737720765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10737720765 is a deficient number, since it is larger than the sum of its proper divisors (8225503515).

10737720765 is a wasteful number, since it uses less digits than its factorization.

10737720765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502253 (or 4502250 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 10737720765 in words is "ten billion, seven hundred thirty-seven million, seven hundred twenty thousand, seven hundred sixty-five".