667735380 has 192 divisors, whose sum is σ = 2269585920. Its totient is φ = 161989632.

The previous prime is 667735363. The next prime is 667735399. The reversal of 667735380 is 83537766.

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 63 ways as a sum of consecutive naturals, for example, 511809 + ... + 513111.

It is an arithmetic number, because the mean of its divisors is an integer number (11820760).

Almost surely, 2^667735380 is an apocalyptic number.

667735380 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 667735380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134792960).

667735380 is an abundant number, since it is smaller than the sum of its proper divisors (1601850540).

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

667735380 is a wasteful number, since it uses less digits than its factorization.

667735380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 667735380 is about 25840.5762319651. The cubic root of 667735380 is about 874.0470190638.

The spelling of 667735380 in words is "six hundred sixty-seven million, seven hundred thirty-five thousand, three hundred eighty".