3664996761600 has 2016 divisors, whose sum is σ = 15228342653490. Its totient is φ = 871429570560.

The previous prime is 3664996761599. The next prime is 3664996761637. The reversal of 3664996761600 is 61676994663.

3664996761600 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 9 + 9 + 6 + 7 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3143273693184 + 521723068416 = 1772928^2 + 722304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 192894566391 + ... + 192894566409.

Almost surely, 2^{3664996761600} is an apocalyptic number.

3664996761600 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 3664996761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614171326745).

3664996761600 is an abundant number, since it is smaller than the sum of its proper divisors (11563345891890).

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

3664996761600 is an frugal number, since it uses more digits than its factorization.

3664996761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3664996761600 in words is "three trillion, six hundred sixty-four billion, nine hundred ninety-six million, seven hundred sixty-one thousand, six hundred".