667917354720 has 1536 divisors, whose sum is σ = 2925595459584. Its totient is φ = 123833548800.

The previous prime is 667917354707. The next prime is 667917354721. The reversal of 667917354720 is 27453719766.

It is a super-2 number, since 2×667917354720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667917354721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1032329437 + ... + 1032330083.

It is an arithmetic number, because the mean of its divisors is an integer number (1904684544).

Almost surely, 2^667917354720 is an apocalyptic number.

667917354720 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 667917354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462797729792).

667917354720 is an abundant number, since it is smaller than the sum of its proper divisors (2257678104864).

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

667917354720 is a wasteful number, since it uses less digits than its factorization.

667917354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 667917354720 in words is "six hundred sixty-seven billion, nine hundred seventeen million, three hundred fifty-four thousand, seven hundred twenty".