667419008256 has 1152 divisors, whose sum is σ = 2789991321600. Its totient is φ = 151568547840.

The previous prime is 667419008239. The next prime is 667419008297. The reversal of 667419008256 is 652800914766.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 131456790 + ... + 131461866.

Almost surely, 2^667419008256 is an apocalyptic number.

667419008256 is a gapful number since it is divisible by the number (66) 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 667419008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394995660800).

667419008256 is an abundant number, since it is smaller than the sum of its proper divisors (2122572313344).

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

667419008256 is a wasteful number, since it uses less digits than its factorization.

667419008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 667419008256 in words is "six hundred sixty-seven billion, four hundred nineteen million, eight thousand, two hundred fifty-six".