66316690994400 has 5184 divisors, whose sum is σ = 331194687183360. Its totient is φ = 12145655808000.

The previous prime is 66316690994341. The next prime is 66316690994441. The reversal of 66316690994400 is 449909661366.

66316690994400 is a `hidden beast` number, since 6 + 6 + 3 + 16 + 6 + 90 + 99 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 258041599072 + ... + 258041599328.

It is an arithmetic number, because the mean of its divisors is an integer number (63887864040).

Almost surely, 2^{66316690994400} is an apocalyptic number.

66316690994400 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 66316690994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165597343591680).

66316690994400 is an abundant number, since it is smaller than the sum of its proper divisors (264877996188960).

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

66316690994400 is a wasteful number, since it uses less digits than its factorization.

66316690994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 66316690994400 in words is "sixty-six trillion, three hundred sixteen billion, six hundred ninety million, nine hundred ninety-four thousand, four hundred".