3640107872160 has 960 divisors, whose sum is σ = 13941820569600. Its totient is φ = 891070709760.

The previous prime is 3640107872119. The next prime is 3640107872173. The reversal of 3640107872160 is 612787010463.

3640107872160 is a `hidden beast` number, since 3 + 6 + 401 + 0 + 7 + 87 + 2 + 160 = 666.

It is a super-2 number, since 2×3640107872160² (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 1517342641 + ... + 1517345039.

It is an arithmetic number, because the mean of its divisors is an integer number (14522729760).

Almost surely, 2^{3640107872160} is an apocalyptic number.

3640107872160 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 3640107872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970910284800).

3640107872160 is an abundant number, since it is smaller than the sum of its proper divisors (10301712697440).

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

3640107872160 is a wasteful number, since it uses less digits than its factorization.

3640107872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3640107872160 in words is "three trillion, six hundred forty billion, one hundred seven million, eight hundred seventy-two thousand, one hundred sixty".