667762560 has 96 divisors (see below), whose sum is σ = 2305887480. Its totient is φ = 178068480.

The previous prime is 667762517. The next prime is 667762577. The reversal of 667762560 is 65267766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 52206 + ... + 63725.

Almost surely, 2^667762560 is an apocalyptic number.

667762560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667762560 is an abundant number, since it is smaller than the sum of its proper divisors (1638124920).

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

667762560 is a wasteful number, since it uses less digits than its factorization.

667762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115956 (or 115941 counting only the distinct ones).

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

The square root of 667762560 is about 25841.1021436780. The cubic root of 667762560 is about 874.0588781906.

It can be divided in two parts, 6677625 and 60, that added together give a triangular number (6677685 = T₃₆₅₄).

The spelling of 667762560 in words is "six hundred sixty-seven million, seven hundred sixty-two thousand, five hundred sixty".