668167315200 has 2160 divisors, whose sum is σ = 3245919747840. Its totient is φ = 131383296000.

The previous prime is 668167315171. The next prime is 668167315213. The reversal of 668167315200 is 2513761866.

668167315200 is a `hidden beast` number, since 6 + 68 + 1 + 67 + 3 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×668167315200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 758418760 + ... + 758419640.

It is an arithmetic number, because the mean of its divisors is an integer number (1502740624).

Almost surely, 2^668167315200 is an apocalyptic number.

668167315200 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 668167315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622959873920).

668167315200 is an abundant number, since it is smaller than the sum of its proper divisors (2577752432640).

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

668167315200 is a wasteful number, since it uses less digits than its factorization.

668167315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 668167315200 in words is "six hundred sixty-eight billion, one hundred sixty-seven million, three hundred fifteen thousand, two hundred".