667749120 has 288 divisors, whose sum is σ = 2312597952. Its totient is φ = 163577856.

The previous prime is 667749119. The next prime is 667749143. The reversal of 667749120 is 21947766.

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, 3459744 + ... + 3459936.

It is an arithmetic number, because the mean of its divisors is an integer number (8029854).

Almost surely, 2^667749120 is an apocalyptic number.

667749120 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 667749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156298976).

667749120 is an abundant number, since it is smaller than the sum of its proper divisors (1644848832).

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

667749120 is a wasteful number, since it uses less digits than its factorization.

667749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 667749120 is about 25840.8420915418. The cubic root of 667749120 is about 874.0530141152.

The spelling of 667749120 in words is "six hundred sixty-seven million, seven hundred forty-nine thousand, one hundred twenty".