11637028080 has 320 divisors, whose sum is σ = 41247360000. Its totient is φ = 3013936128.

The previous prime is 11637028079. The next prime is 11637028141. The reversal of 11637028080 is 8082073611.

11637028080 is a `hidden beast` number, since 1 + 1 + 6 + 370 + 280 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32414941 + ... + 32415299.

It is an arithmetic number, because the mean of its divisors is an integer number (128898000).

Almost surely, 2^11637028080 is an apocalyptic number.

11637028080 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 11637028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680000).

11637028080 is an abundant number, since it is smaller than the sum of its proper divisors (29610331920).

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

11637028080 is a wasteful number, since it uses less digits than its factorization.

11637028080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11637028080 in words is "eleven billion, six hundred thirty-seven million, twenty-eight thousand, eighty".