39766765968 has 100 divisors (see below), whose sum is σ = 119065517340. Its totient is φ = 12798487296.

The previous prime is 39766765943. The next prime is 39766765981. The reversal of 39766765968 is 86956766793.

39766765968 is a `hidden beast` number, since 397 + 66 + 76 + 59 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15220650384 + 24546115584 = 123372^2 + 156672^2 .

It is a super-3 number, since 3×39766765968³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 39766765896 and 39766765905.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 491455 + ... + 566622.

Almost surely, 2^39766765968 is an apocalyptic number.

It is an amenable number.

39766765968 is an abundant number, since it is smaller than the sum of its proper divisors (79298751372).

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

39766765968 is a wasteful number, since it uses less digits than its factorization.

39766765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058126 (or 1058111 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 39766765968 in words is "thirty-nine billion, seven hundred sixty-six million, seven hundred sixty-five thousand, nine hundred sixty-eight".