37820016960000 has 1600 divisors, whose sum is σ = 146322365054976. Its totient is φ = 8576204800000.

The previous prime is 37820016959987. The next prime is 37820016960023. The reversal of 37820016960000 is 6961002873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

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, 34288319449 + ... + 34288320551.

Almost surely, 2^{37820016960000} is an apocalyptic number.

37820016960000 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 37820016960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73161182527488).

37820016960000 is an abundant number, since it is smaller than the sum of its proper divisors (108502348094976).

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

37820016960000 is a wasteful number, since it uses less digits than its factorization.

37820016960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

Adding to 37820016960000 its reverse (6961002873), we get a palindrome (37826977962873).

The spelling of 37820016960000 in words is "thirty-seven trillion, eight hundred twenty billion, sixteen million, nine hundred sixty thousand".