37981648768 has 64 divisors (see below), whose sum is σ = 86754769920. Its totient is φ = 16225390080.

The previous prime is 37981648709. The next prime is 37981648769. The reversal of 37981648768 is 86784618973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×37981648768⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37981648769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210505 + ... + 346807.

It is an arithmetic number, because the mean of its divisors is an integer number (1355543280).

Almost surely, 2^37981648768 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 37981648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43377384960).

37981648768 is an abundant number, since it is smaller than the sum of its proper divisors (48773121152).

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

37981648768 is a wasteful number, since it uses less digits than its factorization.

37981648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136635 (or 136623 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 67.

The spelling of 37981648768 in words is "thirty-seven billion, nine hundred eighty-one million, six hundred forty-eight thousand, seven hundred sixty-eight".