668623553270400 has 3072 divisors, whose sum is σ = 2974570255319040. Its totient is φ = 127968215040000.

The previous prime is 668623553270381. The next prime is 668623553270459. The reversal of 668623553270400 is 4072355326866.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 118319507575 + ... + 118319513225.

It is an arithmetic number, because the mean of its divisors is an integer number (968284588320).

Almost surely, 2^{668623553270400} is an apocalyptic number.

668623553270400 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 668623553270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487285127659520).

668623553270400 is an abundant number, since it is smaller than the sum of its proper divisors (2305946702048640).

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

668623553270400 is a wasteful number, since it uses less digits than its factorization.

668623553270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 668623553270400 in words is "six hundred sixty-eight trillion, six hundred twenty-three billion, five hundred fifty-three million, two hundred seventy thousand, four hundred".