669134400 has 672 divisors, whose sum is σ = 2721254400. Its totient is φ = 141926400.

The previous prime is 669134357. The next prime is 669134407. The reversal of 669134400 is 4431966.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23073586 + ... + 23073614.

Almost surely, 2^669134400 is an apocalyptic number.

669134400 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 669134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627200).

669134400 is an abundant number, since it is smaller than the sum of its proper divisors (2052120000).

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

669134400 is a wasteful number, since it uses less digits than its factorization.

669134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 669134400 is about 25867.6322843820. The cubic root of 669134400 is about 874.6570193182.

The spelling of 669134400 in words is "six hundred sixty-nine million, one hundred thirty-four thousand, four hundred".