37968610680 has 1280 divisors, whose sum is σ = 179146598400. Its totient is φ = 6952366080.

The previous prime is 37968610661. The next prime is 37968610681. The reversal of 37968610680 is 8601686973.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37968610681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 74594266 + ... + 74594774.

It is an arithmetic number, because the mean of its divisors is an integer number (139958280).

Almost surely, 2^37968610680 is an apocalyptic number.

37968610680 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 37968610680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89573299200).

37968610680 is an abundant number, since it is smaller than the sum of its proper divisors (141177987720).

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

37968610680 is a wasteful number, since it uses less digits than its factorization.

37968610680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 37968610680 in words is "thirty-seven billion, nine hundred sixty-eight million, six hundred ten thousand, six hundred eighty".