667940364 has 384 divisors, whose sum is σ = 2320640000. Its totient is φ = 164602368.

The previous prime is 667940363. The next prime is 667940369. The reversal of 667940364 is 463049766.

It is a super-2 number, since 2×667940364² = 892288659720904992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (667940363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9149832 + ... + 9149904.

Almost surely, 2^667940364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667940364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160320000).

667940364 is an abundant number, since it is smaller than the sum of its proper divisors (1652699636).

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

667940364 is a wasteful number, since it uses less digits than its factorization.

667940364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 667940364 is about 25844.5422478325. The cubic root of 667940364 is about 874.1364493626.

The spelling of 667940364 in words is "six hundred sixty-seven million, nine hundred forty thousand, three hundred sixty-four".