3687473600640 has 768 divisors, whose sum is σ = 13592341002240. Its totient is φ = 954809856000.

The previous prime is 3687473600567. The next prime is 3687473600663. The reversal of 3687473600640 is 460063747863.

It is a happy number.

3687473600640 is a `hidden beast` number, since 36 + 87 + 473 + 6 + 0 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 957534715 + ... + 957538565.

It is an arithmetic number, because the mean of its divisors is an integer number (17698360680).

Almost surely, 2^{3687473600640} is an apocalyptic number.

3687473600640 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 3687473600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796170501120).

3687473600640 is an abundant number, since it is smaller than the sum of its proper divisors (9904867401600).

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

3687473600640 is a wasteful number, since it uses less digits than its factorization.

3687473600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3687473600640 in words is "three trillion, six hundred eighty-seven billion, four hundred seventy-three million, six hundred thousand, six hundred forty".