11634678720 has 336 divisors, whose sum is σ = 46602578880. Its totient is φ = 2608939008.

The previous prime is 11634678719. The next prime is 11634678743. The reversal of 11634678720 is 2787643611.

11634678720 is a `hidden beast` number, since 1 + 1 + 634 + 6 + 7 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063036 + ... + 1073924.

Almost surely, 2^11634678720 is an apocalyptic number.

11634678720 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 11634678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301289440).

11634678720 is an abundant number, since it is smaller than the sum of its proper divisors (34967900160).

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

11634678720 is a wasteful number, since it uses less digits than its factorization.

11634678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11634678720 in words is "eleven billion, six hundred thirty-four million, six hundred seventy-eight thousand, seven hundred twenty".