37683309664 has 288 divisors, whose sum is σ = 105811888896. Its totient is φ = 12961428480.

The previous prime is 37683309649. The next prime is 37683309689. The reversal of 37683309664 is 46690338673.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5153499 + ... + 5160805.

It is an arithmetic number, because the mean of its divisors is an integer number (367402392).

Almost surely, 2^37683309664 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 37683309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52905944448).

37683309664 is an abundant number, since it is smaller than the sum of its proper divisors (68128579232).

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

37683309664 is a wasteful number, since it uses less digits than its factorization.

37683309664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 55.

The spelling of 37683309664 in words is "thirty-seven billion, six hundred eighty-three million, three hundred nine thousand, six hundred sixty-four".