37440413676864 has 1344 divisors, whose sum is σ = 130410534159360. Its totient is φ = 10531028090880.

The previous prime is 37440413676793. The next prime is 37440413677003. The reversal of 37440413676864 is 46867631404473.

37440413676864 is a `hidden beast` number, since 3 + 7 + 4 + 40 + 413 + 67 + 68 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36959934022 + ... + 36959935034.

It is an arithmetic number, because the mean of its divisors is an integer number (97031647440).

Almost surely, 2^{37440413676864} 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 37440413676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65205267079680).

37440413676864 is an abundant number, since it is smaller than the sum of its proper divisors (92970120482496).

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

37440413676864 is a wasteful number, since it uses less digits than its factorization.

37440413676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 37440413676864 in words is "thirty-seven trillion, four hundred forty billion, four hundred thirteen million, six hundred seventy-six thousand, eight hundred sixty-four".