667745280 has 264 divisors, whose sum is σ = 2374552752. Its totient is φ = 173408256.

The previous prime is 667745279. The next prime is 667745317. The reversal of 667745280 is 82547766.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1981272 + ... + 1981608.

It is an arithmetic number, because the mean of its divisors is an integer number (8994518).

Almost surely, 2^667745280 is an apocalyptic number.

667745280 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 667745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187276376).

667745280 is an abundant number, since it is smaller than the sum of its proper divisors (1706807472).

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

667745280 is a wasteful number, since it uses less digits than its factorization.

667745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 667745280 is about 25840.7677904508. The cubic root of 667745280 is about 874.0513386506.

The spelling of 667745280 in words is "six hundred sixty-seven million, seven hundred forty-five thousand, two hundred eighty".