667416250368 has 768 divisors, whose sum is σ = 2398136832000. Its totient is φ = 179159040000.

The previous prime is 667416250313. The next prime is 667416250379. The reversal of 667416250368 is 863052614766.

667416250368 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 1 + 625 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110509268 + ... + 1110509868.

It is an arithmetic number, because the mean of its divisors is an integer number (3122574000).

Almost surely, 2^667416250368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667416250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199068416000).

667416250368 is an abundant number, since it is smaller than the sum of its proper divisors (1730720581632).

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

667416250368 is a wasteful number, since it uses less digits than its factorization.

667416250368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 667416250368 in words is "six hundred sixty-seven billion, four hundred sixteen million, two hundred fifty thousand, three hundred sixty-eight".