11779832064 has 648 divisors, whose sum is σ = 43387579200. Its totient is φ = 2810142720.

The previous prime is 11779832033. The next prime is 11779832111. The reversal of 11779832064 is 46023897711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59195037 + ... + 59195235.

Almost surely, 2^11779832064 is an apocalyptic number.

11779832064 is a gapful number since it is divisible by the number (14) 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 11779832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21693789600).

11779832064 is an abundant number, since it is smaller than the sum of its proper divisors (31607747136).

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

11779832064 is a wasteful number, since it uses less digits than its factorization.

11779832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11779832064 in words is "eleven billion, seven hundred seventy-nine million, eight hundred thirty-two thousand, sixty-four".