36942372292800 has 672 divisors, whose sum is σ = 138377229512704. Its totient is φ = 8562309120000.

The previous prime is 36942372292799. The next prime is 36942372292811. The reversal of 36942372292800 is 829227324963.

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, 71314725 + ... + 71830875.

Almost surely, 2^{36942372292800} is an apocalyptic number.

36942372292800 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 36942372292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69188614756352).

36942372292800 is an abundant number, since it is smaller than the sum of its proper divisors (101434857219904).

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

36942372292800 is a wasteful number, since it uses less digits than its factorization.

36942372292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516257 (or 516242 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 36942372292800 in words is "thirty-six trillion, nine hundred forty-two billion, three hundred seventy-two million, two hundred ninety-two thousand, eight hundred".