11360912640 has 648 divisors, whose sum is σ = 46486692000. Its totient is φ = 2355978240.

The previous prime is 11360912627. The next prime is 11360912681. The reversal of 11360912640 is 4621906311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 22767111 + ... + 22767609.

Almost surely, 2^11360912640 is an apocalyptic number.

11360912640 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 11360912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243346000).

11360912640 is an abundant number, since it is smaller than the sum of its proper divisors (35125779360).

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

11360912640 is a wasteful number, since it uses less digits than its factorization.

11360912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11360912640 in words is "eleven billion, three hundred sixty million, nine hundred twelve thousand, six hundred forty".