3662956402560 has 2304 divisors, whose sum is σ = 16789293480960. Its totient is φ = 717973880832.

The previous prime is 3662956402487. The next prime is 3662956402607. The reversal of 3662956402560 is 652046592663.

3662956402560 is a `hidden beast` number, since 3 + 6 + 6 + 29 + 56 + 4 + 0 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3662956402497 and 3662956402506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11931453927 + ... + 11931454233.

It is an arithmetic number, because the mean of its divisors is an integer number (7287019740).

Almost surely, 2^{3662956402560} is an apocalyptic number.

3662956402560 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 3662956402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394646740480).

3662956402560 is an abundant number, since it is smaller than the sum of its proper divisors (13126337078400).

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

3662956402560 is a wasteful number, since it uses less digits than its factorization.

3662956402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3662956402560 in words is "three trillion, six hundred sixty-two billion, nine hundred fifty-six million, four hundred two thousand, five hundred sixty".