37649767680 has 576 divisors, whose sum is σ = 160746700800. Its totient is φ = 8151736320.

The previous prime is 37649767663. The next prime is 37649767709. The reversal of 37649767680 is 8676794673.

37649767680 is a `hidden beast` number, since 3 + 7 + 6 + 497 + 67 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592385 + ... + 4600575.

Almost surely, 2^37649767680 is an apocalyptic number.

37649767680 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 37649767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80373350400).

37649767680 is an abundant number, since it is smaller than the sum of its proper divisors (123096933120).

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

37649767680 is a wasteful number, since it uses less digits than its factorization.

37649767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 37649767680 in words is "thirty-seven billion, six hundred forty-nine million, seven hundred sixty-seven thousand, six hundred eighty".