37730459664 has 200 divisors, whose sum is σ = 114294470400. Its totient is φ = 11993743872.

The previous prime is 37730459647. The next prime is 37730459671. The reversal of 37730459664 is 46695403773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 37730459664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10937812 + ... + 10941260.

It is an arithmetic number, because the mean of its divisors is an integer number (571472352).

Almost surely, 2^37730459664 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 37730459664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57147235200).

37730459664 is an abundant number, since it is smaller than the sum of its proper divisors (76564010736).

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

37730459664 is a wasteful number, since it uses less digits than its factorization.

37730459664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 37730459664 in words is "thirty-seven billion, seven hundred thirty million, four hundred fifty-nine thousand, six hundred sixty-four".