37121360640 has 576 divisors, whose sum is σ = 149532106752. Its totient is φ = 7638220800.

The previous prime is 37121360603. The next prime is 37121360659. The reversal of 37121360640 is 4606312173.

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 63 ways as a sum of consecutive naturals, for example, 14325745 + ... + 14328335.

It is an arithmetic number, because the mean of its divisors is an integer number (259604352).

Almost surely, 2^37121360640 is an apocalyptic number.

37121360640 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 37121360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74766053376).

37121360640 is an abundant number, since it is smaller than the sum of its proper divisors (112410746112).

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

37121360640 is a wasteful number, since it uses less digits than its factorization.

37121360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 37121360640 in words is "thirty-seven billion, one hundred twenty-one million, three hundred sixty thousand, six hundred forty".