37982636640 has 480 divisors, whose sum is σ = 145411713216. Its totient is φ = 9281433600.

The previous prime is 37982636617. The next prime is 37982636683. The reversal of 37982636640 is 4663628973.

37982636640 is a `hidden beast` number, since 379 + 8 + 263 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×37982636640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25439734 + ... + 25441226.

Almost surely, 2^37982636640 is an apocalyptic number.

37982636640 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 37982636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705856608).

37982636640 is an abundant number, since it is smaller than the sum of its proper divisors (107429076576).

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

37982636640 is a wasteful number, since it uses less digits than its factorization.

37982636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1667 counting only the distinct ones).

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

The spelling of 37982636640 in words is "thirty-seven billion, nine hundred eighty-two million, six hundred thirty-six thousand, six hundred forty".