37605680640 has 240 divisors, whose sum is σ = 142079919696. Its totient is φ = 9116467200.

The previous prime is 37605680633. The next prime is 37605680641. The reversal of 37605680640 is 4608650673.

37605680640 is a `hidden beast` number, since 37 + 605 + 6 + 8 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37605680641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179250 + ... + 327630.

Almost surely, 2^37605680640 is an apocalyptic number.

37605680640 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 37605680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71039959848).

37605680640 is an abundant number, since it is smaller than the sum of its proper divisors (104474239056).

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

37605680640 is a wasteful number, since it uses less digits than its factorization.

37605680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148421 (or 148402 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 37605680640 in words is "thirty-seven billion, six hundred five million, six hundred eighty thousand, six hundred forty".