669882470400 has 2808 divisors, whose sum is σ = 3131540657856. Its totient is φ = 134951731200.

The previous prime is 669882470311. The next prime is 669882470431. The reversal of 669882470400 is 4074288966.

669882470400 is a `hidden beast` number, since 6 + 6 + 98 + 82 + 4 + 70 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 29125324789 + ... + 29125324811.

It is an arithmetic number, because the mean of its divisors is an integer number (1115221032).

Almost surely, 2^669882470400 is an apocalyptic number.

669882470400 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 669882470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565770328928).

669882470400 is an abundant number, since it is smaller than the sum of its proper divisors (2461658187456).

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

669882470400 is a wasteful number, since it uses less digits than its factorization.

669882470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 669882470400 in words is "six hundred sixty-nine billion, eight hundred eighty-two million, four hundred seventy thousand, four hundred".