37785968640 has 560 divisors, whose sum is σ = 154908211392. Its totient is φ = 8631484416.

The previous prime is 37785968579. The next prime is 37785968681. The reversal of 37785968640 is 4686958773.

37785968640 is a `hidden beast` number, since 37 + 7 + 8 + 596 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23223507 + ... + 23225133.

Almost surely, 2^37785968640 is an apocalyptic number.

37785968640 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 37785968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77454105696).

37785968640 is an abundant number, since it is smaller than the sum of its proper divisors (117122242752).

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

37785968640 is an equidigital number, since it uses as much as digits as its factorization.

37785968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 37785968640 in words is "thirty-seven billion, seven hundred eighty-five million, nine hundred sixty-eight thousand, six hundred forty".