662779664870400 has 3564 divisors, whose sum is σ = 3127552398819576. Its totient is φ = 137701638144000.

The previous prime is 662779664870399. The next prime is 662779664870489. The reversal of 662779664870400 is 4078466977266.

662779664870400 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 7 + 96 + 64 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 90531298740 + ... + 90531306060.

Almost surely, 2^{662779664870400} is an apocalyptic number.

662779664870400 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 662779664870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563776199409788).

662779664870400 is an abundant number, since it is smaller than the sum of its proper divisors (2464772733949176).

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

662779664870400 is an equidigital number, since it uses as much as digits as its factorization.

662779664870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 662779664870400 in words is "six hundred sixty-two trillion, seven hundred seventy-nine billion, six hundred sixty-four million, eight hundred seventy thousand, four hundred".