478669167900 has 1440 divisors, whose sum is σ = 2103652024320. Its totient is φ = 91119168000.

The previous prime is 478669167877. The next prime is 478669167923. The reversal of 478669167900 is 9761966874.

478669167900 is a `hidden beast` number, since 478 + 6 + 6 + 91 + 6 + 79 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (478669167877) and next prime (478669167923).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 367358649 + ... + 367359951.

Almost surely, 2^478669167900 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 478669167900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051826012160).

478669167900 is an abundant number, since it is smaller than the sum of its proper divisors (1624982856420).

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

478669167900 is a wasteful number, since it uses less digits than its factorization.

478669167900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 478669167900 in words is "four hundred seventy-eight billion, six hundred sixty-nine million, one hundred sixty-seven thousand, nine hundred".