477839416320 has 1408 divisors, whose sum is σ = 2123461509120. Its totient is φ = 99373547520.

The previous prime is 477839416291. The next prime is 477839416339. The reversal of 477839416320 is 23614938774.

477839416320 is a `hidden beast` number, since 4 + 7 + 78 + 394 + 163 + 20 = 666.

It is a super-3 number, since 3×477839416320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509966892 + ... + 509967828.

Almost surely, 2^477839416320 is an apocalyptic number.

477839416320 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 477839416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061730754560).

477839416320 is an abundant number, since it is smaller than the sum of its proper divisors (1645622092800).

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

477839416320 is a wasteful number, since it uses less digits than its factorization.

477839416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 477839416320 in words is "four hundred seventy-seven billion, eight hundred thirty-nine million, four hundred sixteen thousand, three hundred twenty".