3664921846500 has 576 divisors, whose sum is σ = 12340326136320. Its totient is φ = 913006080000.

The previous prime is 3664921846499. The next prime is 3664921846517. The reversal of 3664921846500 is 56481294663.

3664921846500 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 92 + 1 + 8 + 46 + 500 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2474625760 + ... + 2474627240.

It is an arithmetic number, because the mean of its divisors is an integer number (21424177320).

Almost surely, 2^{3664921846500} is an apocalyptic number.

3664921846500 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 3664921846500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170163068160).

3664921846500 is an abundant number, since it is smaller than the sum of its proper divisors (8675404289820).

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

3664921846500 is a wasteful number, since it uses less digits than its factorization.

3664921846500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3664921846500 in words is "three trillion, six hundred sixty-four billion, nine hundred twenty-one million, eight hundred forty-six thousand, five hundred".