668837102400 has 504 divisors, whose sum is σ = 2464549401600. Its totient is φ = 171853516800.

The previous prime is 668837102393. The next prime is 668837102407. The reversal of 668837102400 is 4201738866.

668837102400 is a `hidden beast` number, since 6 + 68 + 83 + 7 + 102 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (668837102393) and next prime (668837102407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668837102407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106686466 + ... + 106692734.

Almost surely, 2^668837102400 is an apocalyptic number.

668837102400 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 668837102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232274700800).

668837102400 is an abundant number, since it is smaller than the sum of its proper divisors (1795712299200).

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

668837102400 is a wasteful number, since it uses less digits than its factorization.

668837102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 668837102400 in words is "six hundred sixty-eight billion, eight hundred thirty-seven million, one hundred two thousand, four hundred".