37664884480 has 216 divisors, whose sum is σ = 99171364320. Its totient is φ = 13686865920.

The previous prime is 37664884457. The next prime is 37664884489. The reversal of 37664884480 is 8448846673.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37664884489) 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, 10725925 + ... + 10729435.

Almost surely, 2^37664884480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37664884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49585682160).

37664884480 is an abundant number, since it is smaller than the sum of its proper divisors (61506479840).

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

37664884480 is a wasteful number, since it uses less digits than its factorization.

37664884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 58.

The spelling of 37664884480 in words is "thirty-seven billion, six hundred sixty-four million, eight hundred eighty-four thousand, four hundred eighty".