37800216360216 has 96 divisors (see below), whose sum is σ = 104178256416000. Its totient is φ = 12378481877952.

The previous prime is 37800216360197. The next prime is 37800216360253. The reversal of 37800216360216 is 61206361200873.

37800216360216 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 0 + 2 + 1 + 636 + 0 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3671205 + ... + 9438123.

It is an arithmetic number, because the mean of its divisors is an integer number (1085190171000).

Almost surely, 2^{37800216360216} is an apocalyptic number.

37800216360216 is a gapful number since it is divisible by the number (36) 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 37800216360216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52089128208000).

37800216360216 is an abundant number, since it is smaller than the sum of its proper divisors (66378040055784).

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

37800216360216 is a wasteful number, since it uses less digits than its factorization.

37800216360216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768533 (or 5768526 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 37800216360216 in words is "thirty-seven trillion, eight hundred billion, two hundred sixteen million, three hundred sixty thousand, two hundred sixteen".