36117833748480 has 2080 divisors, whose sum is σ = 150602694156288. Its totient is φ = 8192478412800.

The previous prime is 36117833748439. The next prime is 36117833748569. The reversal of 36117833748480 is 8484733871163.

36117833748480 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 7 + 83 + 3 + 74 + 8 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19725741165 + ... + 19725742995.

Almost surely, 2^{36117833748480} is an apocalyptic number.

36117833748480 is a gapful number since it is divisible by the number (30) 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 36117833748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75301347078144).

36117833748480 is an abundant number, since it is smaller than the sum of its proper divisors (114484860407808).

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

36117833748480 is a wasteful number, since it uses less digits than its factorization.

36117833748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 36117833748480 in words is "thirty-six trillion, one hundred seventeen billion, eight hundred thirty-three million, seven hundred forty-eight thousand, four hundred eighty".