66795422400 has 1008 divisors, whose sum is σ = 289614034944. Its totient is φ = 14269685760.

The previous prime is 66795422399. The next prime is 66795422461. The reversal of 66795422400 is 422459766.

66795422400 is a `hidden beast` number, since 6 + 67 + 9 + 542 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108964494 + ... + 108965106.

Almost surely, 2^66795422400 is an apocalyptic number.

66795422400 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 66795422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144807017472).

66795422400 is an abundant number, since it is smaller than the sum of its proper divisors (222818612544).

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

66795422400 is a wasteful number, since it uses less digits than its factorization.

66795422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66795422400 in words is "sixty-six billion, seven hundred ninety-five million, four hundred twenty-two thousand, four hundred".