477328796306208 has 576 divisors, whose sum is σ = 1733635600220160. Its totient is φ = 120988749772800.

The previous prime is 477328796306191. The next prime is 477328796306249. The reversal of 477328796306208 is 802603697823774.

477328796306208 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 28 + 7 + 96 + 306 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170408253 + ... + 173186691.

It is an arithmetic number, because the mean of its divisors is an integer number (3009784028160).

Almost surely, 2^{477328796306208} is an apocalyptic number.

477328796306208 is a gapful number since it is divisible by the number (48) 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 477328796306208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866817800110080).

477328796306208 is an abundant number, since it is smaller than the sum of its proper divisors (1256306803913952).

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

477328796306208 is a wasteful number, since it uses less digits than its factorization.

477328796306208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778661 (or 2778650 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 477328796306208 in words is "four hundred seventy-seven trillion, three hundred twenty-eight billion, seven hundred ninety-six million, three hundred six thousand, two hundred eight".