11640691440 has 480 divisors, whose sum is σ = 46758007296. Its totient is φ = 2636375040.

The previous prime is 11640691429. The next prime is 11640691453. The reversal of 11640691440 is 4419604611.

11640691440 is a `hidden beast` number, since 1 + 1 + 640 + 6 + 9 + 1 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 11640691395 and 11640691404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17826154 + ... + 17826806.

Almost surely, 2^11640691440 is an apocalyptic number.

11640691440 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 11640691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379003648).

11640691440 is an abundant number, since it is smaller than the sum of its proper divisors (35117315856).

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

11640691440 is a wasteful number, since it uses less digits than its factorization.

11640691440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11640691440 in words is "eleven billion, six hundred forty million, six hundred ninety-one thousand, four hundred forty".