11632029768 has 48 divisors (see below), whose sum is σ = 31589326080. Its totient is φ = 3866769504.

The previous prime is 11632029751. The next prime is 11632029779. The reversal of 11632029768 is 86792023611.

11632029768 is a `hidden beast` number, since 1 + 1 + 632 + 0 + 2 + 9 + 7 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193680 + ... + 246527.

It is an arithmetic number, because the mean of its divisors is an integer number (658110960).

Almost surely, 2^11632029768 is an apocalyptic number.

11632029768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11632029768 is an abundant number, since it is smaller than the sum of its proper divisors (19957296312).

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

11632029768 is a wasteful number, since it uses less digits than its factorization.

11632029768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440586 (or 440579 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11632029768 in words is "eleven billion, six hundred thirty-two million, twenty-nine thousand, seven hundred sixty-eight".