37706727240 has 768 divisors, whose sum is σ = 157600235520. Its totient is φ = 7605135360.

The previous prime is 37706727173. The next prime is 37706727287. The reversal of 37706727240 is 4272760773.

37706727240 is a `hidden beast` number, since 377 + 0 + 6 + 7 + 272 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108664747 + ... + 108665093.

It is an arithmetic number, because the mean of its divisors is an integer number (205208640).

Almost surely, 2^37706727240 is an apocalyptic number.

37706727240 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 37706727240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78800117760).

37706727240 is an abundant number, since it is smaller than the sum of its proper divisors (119893508280).

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

37706727240 is a wasteful number, since it uses less digits than its factorization.

37706727240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 37706727240 in words is "thirty-seven billion, seven hundred six million, seven hundred twenty-seven thousand, two hundred forty".