3663165190860 has 1152 divisors, whose sum is σ = 14258493849600. Its totient is φ = 742390272000.

The previous prime is 3663165190807. The next prime is 3663165190897. The reversal of 3663165190860 is 680915613663.

3663165190860 is a `hidden beast` number, since 3 + 6 + 63 + 1 + 6 + 519 + 0 + 8 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3663165190797 and 3663165190806.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3986033481 + ... + 3986034399.

It is an arithmetic number, because the mean of its divisors is an integer number (12377164800).

Almost surely, 2^{3663165190860} is an apocalyptic number.

3663165190860 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 3663165190860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129246924800).

3663165190860 is an abundant number, since it is smaller than the sum of its proper divisors (10595328658740).

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

3663165190860 is a wasteful number, since it uses less digits than its factorization.

3663165190860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3663165190860 in words is "three trillion, six hundred sixty-three billion, one hundred sixty-five million, one hundred ninety thousand, eight hundred sixty".