37633449816 has 96 divisors (see below), whose sum is σ = 102960992160. Its totient is φ = 12417486336.

The previous prime is 37633449811. The next prime is 37633449829. The reversal of 37633449816 is 61894433673.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37633449811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2895765 + ... + 2908731.

It is an arithmetic number, because the mean of its divisors is an integer number (1072510335).

Almost surely, 2^37633449816 is an apocalyptic number.

37633449816 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 37633449816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480496080).

37633449816 is an abundant number, since it is smaller than the sum of its proper divisors (65327542344).

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

37633449816 is a wasteful number, since it uses less digits than its factorization.

37633449816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13385 (or 13378 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 37633449816 in words is "thirty-seven billion, six hundred thirty-three million, four hundred forty-nine thousand, eight hundred sixteen".