477216768 has 240 divisors, whose sum is σ = 1551845120. Its totient is φ = 127401984.

The previous prime is 477216767. The next prime is 477216781. The reversal of 477216768 is 867612774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477216767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537180 + ... + 6537252.

Almost surely, 2^477216768 is an apocalyptic number.

477216768 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 477216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775922560).

477216768 is an abundant number, since it is smaller than the sum of its proper divisors (1074628352).

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

477216768 is an equidigital number, since it uses as much as digits as its factorization.

477216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 477216768 is about 21845.2916666269. The cubic root of 477216768 is about 781.4572625729.

The spelling of 477216768 in words is "four hundred seventy-seven million, two hundred sixteen thousand, seven hundred sixty-eight".