37644918948672 has 448 divisors, whose sum is σ = 122441675587584. Its totient is φ = 9972977541120.

The previous prime is 37644918948671. The next prime is 37644918948731. The reversal of 37644918948672 is 27684981944673.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37644918948671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309893898 + ... + 310015350.

Almost surely, 2^{37644918948672} is an apocalyptic number.

37644918948672 is a gapful number since it is divisible by the number (32) 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 37644918948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61220837793792).

37644918948672 is an abundant number, since it is smaller than the sum of its proper divisors (84796756638912).

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

37644918948672 is a wasteful number, since it uses less digits than its factorization.

37644918948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121806 (or 121796 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 78.

The spelling of 37644918948672 in words is "thirty-seven trillion, six hundred forty-four billion, nine hundred eighteen million, nine hundred forty-eight thousand, six hundred seventy-two".