37640766240 has 1152 divisors, whose sum is σ = 178658887680. Its totient is φ = 6967296000.

The previous prime is 37640766239. The next prime is 37640766269. The reversal of 37640766240 is 4266704673.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 35813715 + ... + 35814765.

It is an arithmetic number, because the mean of its divisors is an integer number (155085840).

Almost surely, 2^37640766240 is an apocalyptic number.

37640766240 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 37640766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89329443840).

37640766240 is an abundant number, since it is smaller than the sum of its proper divisors (141018121440).

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

37640766240 is a wasteful number, since it uses less digits than its factorization.

37640766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 37640766240 in words is "thirty-seven billion, six hundred forty million, seven hundred sixty-six thousand, two hundred forty".