667751040 has 320 divisors, whose sum is σ = 2603668320. Its totient is φ = 161740800.

The previous prime is 667751039. The next prime is 667751057. The reversal of 667751040 is 40157766.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 667750986 and 667751004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569655 + ... + 570825.

Almost surely, 2^667751040 is an apocalyptic number.

667751040 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 667751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301834160).

667751040 is an abundant number, since it is smaller than the sum of its proper divisors (1935917280).

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

667751040 is a wasteful number, since it uses less digits than its factorization.

667751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 667751040 is about 25840.8792420072. The cubic root of 667751040 is about 874.0538518451.

The spelling of 667751040 in words is "six hundred sixty-seven million, seven hundred fifty-one thousand, forty".