36920360140800 has 1536 divisors, whose sum is σ = 132699881664000. Its totient is φ = 9033691955200.

The previous prime is 36920360140793. The next prime is 36920360140843. The reversal of 36920360140800 is 804106302963.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×36920360140800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206258995111 + ... + 206258995289.

It is an arithmetic number, because the mean of its divisors is an integer number (86393152125).

Almost surely, 2^{36920360140800} is an apocalyptic number.

36920360140800 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 36920360140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349940832000).

36920360140800 is an abundant number, since it is smaller than the sum of its proper divisors (95779521523200).

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

36920360140800 is a wasteful number, since it uses less digits than its factorization.

36920360140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 36920360140800 in words is "thirty-six trillion, nine hundred twenty billion, three hundred sixty million, one hundred forty thousand, eight hundred".