668953958400 has 2592 divisors, whose sum is σ = 3129019573680. Its totient is φ = 135258439680.

The previous prime is 668953958383. The next prime is 668953958429. The reversal of 668953958400 is 4859359866.

668953958400 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 539 + 58 + 40 + 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 215 ways as a sum of consecutive naturals, for example, 12621772774 + ... + 12621772826.

Almost surely, 2^668953958400 is an apocalyptic number.

668953958400 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 668953958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564509786840).

668953958400 is an abundant number, since it is smaller than the sum of its proper divisors (2460065615280).

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

668953958400 is a wasteful number, since it uses less digits than its factorization.

668953958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 668953958400 in words is "six hundred sixty-eight billion, nine hundred fifty-three million, nine hundred fifty-eight thousand, four hundred".