66904305350400 has 2160 divisors, whose sum is σ = 293413480335360. Its totient is φ = 14719109529600.

The previous prime is 66904305350347. The next prime is 66904305350473. The reversal of 66904305350400 is 405350340966.

66904305350400 is a `hidden beast` number, since 6 + 6 + 90 + 4 + 3 + 0 + 53 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22161080091 + ... + 22161083109.

Almost surely, 2^{66904305350400} is an apocalyptic number.

66904305350400 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 66904305350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146706740167680).

66904305350400 is an abundant number, since it is smaller than the sum of its proper divisors (226509174984960).

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

66904305350400 is a wasteful number, since it uses less digits than its factorization.

66904305350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 66904305350400 in words is "sixty-six trillion, nine hundred four billion, three hundred five million, three hundred fifty thousand, four hundred".