669159014400 has 900 divisors, whose sum is σ = 2519143212432. Its totient is φ = 176292495360.

The previous prime is 669159014323. The next prime is 669159014413. The reversal of 669159014400 is 4410951966.

It is a happy number.

669159014400 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 590 + 14 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8062156759 + ... + 8062156841.

Almost surely, 2^669159014400 is an apocalyptic number.

669159014400 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 669159014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259571606216).

669159014400 is an abundant number, since it is smaller than the sum of its proper divisors (1849984198032).

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

669159014400 is an frugal number, since it uses more digits than its factorization.

669159014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 669159014400 in words is "six hundred sixty-nine billion, one hundred fifty-nine million, fourteen thousand, four hundred".