667397652480 has 648 divisors, whose sum is σ = 2638183641912. Its totient is φ = 154618822656.

The previous prime is 667397652479. The next prime is 667397652517. The reversal of 667397652480 is 84256793766.

667397652480 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 97 + 65 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48922361856 + 618475290624 = 221184^2 + 786432^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39258685432 + ... + 39258685448.

Almost surely, 2^667397652480 is an apocalyptic number.

667397652480 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 667397652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319091820956).

667397652480 is an abundant number, since it is smaller than the sum of its proper divisors (1970785989432).

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

667397652480 is an frugal number, since it uses more digits than its factorization.

667397652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 667397652480 in words is "six hundred sixty-seven billion, three hundred ninety-seven million, six hundred fifty-two thousand, four hundred eighty".