37764040400 has 90 divisors (see below), whose sum is σ = 94844847510. Its totient is φ = 14448769280.

The previous prime is 37764040361. The next prime is 37764040411. The reversal of 37764040400 is 404046773.

It can be written as a sum of positive squares in 3 ways, for example, as 402243136 + 37361797264 = 20056^2 + 193292^2 .

It is a super-2 number, since 2×37764040400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122366 + ... + 300834.

It is an arithmetic number, because the mean of its divisors is an integer number (1053831639).

Almost surely, 2^37764040400 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 37764040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47422423755).

37764040400 is an abundant number, since it is smaller than the sum of its proper divisors (57080807110).

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

37764040400 is a wasteful number, since it uses less digits than its factorization.

37764040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178533 (or 178499 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The spelling of 37764040400 in words is "thirty-seven billion, seven hundred sixty-four million, forty thousand, four hundred".