36787322880000 has 2940 divisors, whose sum is σ = 171858940759968. Its totient is φ = 7644119040000.

The previous prime is 36787322879977. The next prime is 36787322880031. The reversal of 36787322880000 is 8822378763.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (5!)² ⋅ (2!)⁶.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3344302079995 + ... + 3344302080005.

Almost surely, 2^{36787322880000} is an apocalyptic number.

36787322880000 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 36787322880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85929470379984).

36787322880000 is an abundant number, since it is smaller than the sum of its proper divisors (135071617879968).

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

36787322880000 is an frugal number, since it uses more digits than its factorization.

36787322880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 36787322880000 in words is "thirty-six trillion, seven hundred eighty-seven billion, three hundred twenty-two million, eight hundred eighty thousand".