37793412540 has 720 divisors, whose sum is σ = 136539760896. Its totient is φ = 8734003200.

The previous prime is 37793412493. The next prime is 37793412593. The reversal of 37793412540 is 4521439773.

37793412540 is a `hidden beast` number, since 3 + 7 + 7 + 93 + 4 + 12 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 517717944 + ... + 517718016.

Almost surely, 2^37793412540 is an apocalyptic number.

37793412540 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 37793412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68269880448).

37793412540 is an abundant number, since it is smaller than the sum of its proper divisors (98746348356).

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

37793412540 is a wasteful number, since it uses less digits than its factorization.

37793412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 37793412540 in words is "thirty-seven billion, seven hundred ninety-three million, four hundred twelve thousand, five hundred forty".