10736504640 has 140 divisors (see below), whose sum is σ = 38191728036. Its totient is φ = 2863060992.

The previous prime is 10736504633. The next prime is 10736504663. The reversal of 10736504640 is 4640563701.

It is a happy number.

10736504640 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 5 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1853819136 + 8882685504 = 43056^2 + 94248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10736504595 and 10736504604.

It is a congruent number.

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, 181189 + ... + 233028.

Almost surely, 2^10736504640 is an apocalyptic number.

10736504640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10736504640 is an abundant number, since it is smaller than the sum of its proper divisors (27455223396).

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

10736504640 is an equidigital number, since it uses as much as digits as its factorization.

10736504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414246 (or 414227 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10736504640 in words is "ten billion, seven hundred thirty-six million, five hundred four thousand, six hundred forty".