477999091968 has 288 divisors, whose sum is σ = 1353382044672. Its totient is φ = 149448499200.

The previous prime is 477999091937. The next prime is 477999091981. The reversal of 477999091968 is 869190999774.

It is a super-2 number, since 2×477999091968² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 477999091893 and 477999091902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589394283 + ... + 589395093.

Almost surely, 2^477999091968 is an apocalyptic number.

477999091968 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 477999091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676691022336).

477999091968 is an abundant number, since it is smaller than the sum of its proper divisors (875382952704).

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

477999091968 is a wasteful number, since it uses less digits than its factorization.

477999091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 78.

The spelling of 477999091968 in words is "four hundred seventy-seven billion, nine hundred ninety-nine million, ninety-one thousand, nine hundred sixty-eight".