667408896 has 600 divisors, whose sum is σ = 2634102240. Its totient is φ = 164229120.

The previous prime is 667408867. The next prime is 667408897. The reversal of 667408896 is 698804766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (667408897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35126775 + ... + 35126793.

Almost surely, 2^667408896 is an apocalyptic number.

667408896 is a gapful number since it is divisible by the number (66) 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 667408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317051120).

667408896 is an abundant number, since it is smaller than the sum of its proper divisors (1966693344).

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

667408896 is a wasteful number, since it uses less digits than its factorization.

667408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 667408896 is about 25834.2581855953. The cubic root of 667408896 is about 873.9045430188.

The spelling of 667408896 in words is "six hundred sixty-seven million, four hundred eight thousand, eight hundred ninety-six".