11936564640 has 1152 divisors, whose sum is σ = 56137536000. Its totient is φ = 2289530880.

The previous prime is 11936564639. The next prime is 11936564641. The reversal of 11936564640 is 4646563911.

11936564640 is a `hidden beast` number, since 1 + 19 + 36 + 564 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11936564639) and next prime (11936564641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11936564641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 918197274 + ... + 918197286.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^11936564640 is an apocalyptic number.

11936564640 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 11936564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768000).

11936564640 is an abundant number, since it is smaller than the sum of its proper divisors (44200971360).

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

11936564640 is a wasteful number, since it uses less digits than its factorization.

11936564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 11936564640 in words is "eleven billion, nine hundred thirty-six million, five hundred sixty-four thousand, six hundred forty".