668207764224 has 3456 divisors, whose sum is σ = 3102536908800. Its totient is φ = 136638627840.

The previous prime is 668207764181. The next prime is 668207764267. The reversal of 668207764224 is 422467702866.

668207764224 is a `hidden beast` number, since 6 + 6 + 8 + 207 + 7 + 6 + 422 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (668207764181) and next prime (668207764267).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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, 29052511477 + ... + 29052511499.

It is an arithmetic number, because the mean of its divisors is an integer number (897724800).

Almost surely, 2^668207764224 is an apocalyptic number.

668207764224 is a gapful number since it is divisible by the number (64) 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 668207764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551268454400).

668207764224 is an abundant number, since it is smaller than the sum of its proper divisors (2434329144576).

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

668207764224 is a wasteful number, since it uses less digits than its factorization.

668207764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 668207764224 in words is "six hundred sixty-eight billion, two hundred seven million, seven hundred sixty-four thousand, two hundred twenty-four".