477351144864 has 576 divisors, whose sum is σ = 1559003443200. Its totient is φ = 141976074240.

The previous prime is 477351144847. The next prime is 477351144937. The reversal of 477351144864 is 468441153774.

477351144864 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 511 + 44 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 477351144864.

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, 2084502702 + ... + 2084502930.

It is an arithmetic number, because the mean of its divisors is an integer number (2706603200).

Almost surely, 2^477351144864 is an apocalyptic number.

477351144864 is a gapful number since it is divisible by the number (44) 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 477351144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779501721600).

477351144864 is an abundant number, since it is smaller than the sum of its proper divisors (1081652298336).

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

477351144864 is a wasteful number, since it uses less digits than its factorization.

477351144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 529 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 477351144864 in words is "four hundred seventy-seven billion, three hundred fifty-one million, one hundred forty-four thousand, eight hundred sixty-four".