36748379566080 has 5616 divisors, whose sum is σ = 183490849009440. Its totient is φ = 6913341259776.

The previous prime is 36748379566027. The next prime is 36748379566103. The reversal of 36748379566080 is 8066597384763.

36748379566080 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 8 + 3 + 7 + 9 + 5 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1934125240311 + ... + 1934125240329.

Almost surely, 2^{36748379566080} is an apocalyptic number.

36748379566080 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 36748379566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91745424504720).

36748379566080 is an abundant number, since it is smaller than the sum of its proper divisors (146742469443360).

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

36748379566080 is a wasteful number, since it uses less digits than its factorization.

36748379566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 36748379566080 in words is "thirty-six trillion, seven hundred forty-eight billion, three hundred seventy-nine million, five hundred sixty-six thousand, eighty".