3664798473600 has 2688 divisors, whose sum is σ = 16244063170560. Its totient is φ = 806215680000.

The previous prime is 3664798473593. The next prime is 3664798473601. The reversal of 3664798473600 is 63748974663.

3664798473600 is a `hidden beast` number, since 3 + 66 + 47 + 9 + 8 + 473 + 60 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664798473601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13523241465 + ... + 13523241735.

Almost surely, 2^{3664798473600} is an apocalyptic number.

3664798473600 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 3664798473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122031585280).

3664798473600 is an abundant number, since it is smaller than the sum of its proper divisors (12579264696960).

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

3664798473600 is a wasteful number, since it uses less digits than its factorization.

3664798473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 3664798473600 in words is "three trillion, six hundred sixty-four billion, seven hundred ninety-eight million, four hundred seventy-three thousand, six hundred".