478976769600 has 336 divisors, whose sum is σ = 1809061200768. Its totient is φ = 108680232960.

The previous prime is 478976769571. The next prime is 478976769613. The reversal of 478976769600 is 6967679874.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4551174 + ... + 4655226.

Almost surely, 2^478976769600 is an apocalyptic number.

478976769600 is a gapful number since it is divisible by the number (40) 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 478976769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904530600384).

478976769600 is an abundant number, since it is smaller than the sum of its proper divisors (1330084431168).

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

478976769600 is a wasteful number, since it uses less digits than its factorization.

478976769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104222 (or 104207 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 478976769600 in words is "four hundred seventy-eight billion, nine hundred seventy-six million, seven hundred sixty-nine thousand, six hundred".