66732994359360 has 1792 divisors, whose sum is σ = 279523038412800. Its totient is φ = 14673884479488.

The previous prime is 66732994359359. The next prime is 66732994359389. The reversal of 66732994359360 is 6395349923766.

66732994359360 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 29 + 9 + 4 + 3 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35327153296 + ... + 35327155184.

It is an arithmetic number, because the mean of its divisors is an integer number (155983838400).

Almost surely, 2^{66732994359360} is an apocalyptic number.

66732994359360 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 66732994359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139761519206400).

66732994359360 is an abundant number, since it is smaller than the sum of its proper divisors (212790044053440).

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

66732994359360 is a wasteful number, since it uses less digits than its factorization.

66732994359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 1190427840, while the sum is 72.

The spelling of 66732994359360 in words is "sixty-six trillion, seven hundred thirty-two billion, nine hundred ninety-four million, three hundred fifty-nine thousand, three hundred sixty".