37404656640 has 528 divisors, whose sum is σ = 147826446768. Its totient is φ = 8663334912.

The previous prime is 37404656633. The next prime is 37404656647. The reversal of 37404656640 is 4665640473.

It is a happy number.

37404656640 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 46 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (37404656633) and next prime (37404656647).

It can be written as a sum of positive squares in 8 ways, for example, as 5211684864 + 32192971776 = 72192^2 + 179424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (37404656647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181844 + ... + 10185516.

It is an arithmetic number, because the mean of its divisors is an integer number (279974331).

Almost surely, 2^37404656640 is an apocalyptic number.

37404656640 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 37404656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73913223384).

37404656640 is an abundant number, since it is smaller than the sum of its proper divisors (110421790128).

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

37404656640 is a wasteful number, since it uses less digits than its factorization.

37404656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 37404656640 in words is "thirty-seven billion, four hundred four million, six hundred fifty-six thousand, six hundred forty".