11792064640 has 64 divisors (see below), whose sum is σ = 28300489560. Its totient is φ = 4698406912.

The previous prime is 11792064629. The next prime is 11792064707. The reversal of 11792064640 is 4646029711.

It can be written as a sum of positive squares in 4 ways, for example, as 10764477504 + 1027587136 = 103752^2 + 32056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11792064593 and 11792064602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128634 + ... + 200326.

Almost surely, 2^11792064640 is an apocalyptic number.

11792064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150244780).

11792064640 is an abundant number, since it is smaller than the sum of its proper divisors (16508424920).

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

11792064640 is an equidigital number, since it uses as much as digits as its factorization.

11792064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71969 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 11792064640 in words is "eleven billion, seven hundred ninety-two million, sixty-four thousand, six hundred forty".