10764632736 has 144 divisors (see below), whose sum is σ = 35963796960. Its totient is φ = 3011074560.

The previous prime is 10764632731. The next prime is 10764632741. The reversal of 10764632736 is 63723646701.

10764632736 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 632 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10764632731) and next prime (10764632741).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10764632691 and 10764632700.

It is not an unprimeable number, because it can be changed into a prime (10764632731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89506 + ... + 171873.

It is an arithmetic number, because the mean of its divisors is an integer number (249748590).

Almost surely, 2^10764632736 is an apocalyptic number.

10764632736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10764632736 is an abundant number, since it is smaller than the sum of its proper divisors (25199164224).

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

10764632736 is a wasteful number, since it uses less digits than its factorization.

10764632736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261419 (or 261408 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 10764632736 in words is "ten billion, seven hundred sixty-four million, six hundred thirty-two thousand, seven hundred thirty-six".