66513693304800 has 2304 divisors, whose sum is σ = 304270525440000. Its totient is φ = 13671506903040.

The previous prime is 66513693304753. The next prime is 66513693304819. The reversal of 66513693304800 is 840339631566.

66513693304800 is a `hidden beast` number, since 6 + 6 + 513 + 6 + 93 + 30 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7230530601 + ... + 7230539799.

It is an arithmetic number, because the mean of its divisors is an integer number (132061860000).

Almost surely, 2^{66513693304800} is an apocalyptic number.

66513693304800 is a gapful number since it is divisible by the number (60) 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 66513693304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152135262720000).

66513693304800 is an abundant number, since it is smaller than the sum of its proper divisors (237756832135200).

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

66513693304800 is a wasteful number, since it uses less digits than its factorization.

66513693304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 66513693304800 in words is "sixty-six trillion, five hundred thirteen billion, six hundred ninety-three million, three hundred four thousand, eight hundred".