667748880 has 160 divisors (see below), whose sum is σ = 2400203520. Its totient is φ = 170311680.

The previous prime is 667748813. The next prime is 667748891. The reversal of 667748880 is 88847766.

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 31 ways as a sum of consecutive naturals, for example, 42960 + ... + 56400.

It is an arithmetic number, because the mean of its divisors is an integer number (15001272).

Almost surely, 2^667748880 is an apocalyptic number.

667748880 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 667748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200101760).

667748880 is an abundant number, since it is smaller than the sum of its proper divisors (1732454640).

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

667748880 is a wasteful number, since it uses less digits than its factorization.

667748880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13486 (or 13474 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 667748880 is about 25840.8374477299. The cubic root of 667748880 is about 874.0529093988.

The spelling of 667748880 in words is "six hundred sixty-seven million, seven hundred forty-eight thousand, eight hundred eighty".