476780783808 has 448 divisors, whose sum is σ = 1524885626880. Its totient is φ = 128538009600.

The previous prime is 476780783771. The next prime is 476780783821. The reversal of 476780783808 is 808387087674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137901423 + ... + 1137901841.

It is an arithmetic number, because the mean of its divisors is an integer number (3403762560).

Almost surely, 2^476780783808 is an apocalyptic number.

476780783808 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 476780783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762442813440).

476780783808 is an abundant number, since it is smaller than the sum of its proper divisors (1048104843072).

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

476780783808 is a wasteful number, since it uses less digits than its factorization.

476780783808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 66.

The spelling of 476780783808 in words is "four hundred seventy-six billion, seven hundred eighty million, seven hundred eighty-three thousand, eight hundred eight".