477026465760 has 768 divisors, whose sum is σ = 1902275020800. Its totient is φ = 110756118528.

The previous prime is 477026465749. The next prime is 477026465791. The reversal of 477026465760 is 67564620774.

477026465760 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 2 + 64 + 6 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 477026465697 and 477026465706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94290111 + ... + 94295169.

It is an arithmetic number, because the mean of its divisors is an integer number (2476920600).

Almost surely, 2^477026465760 is an apocalyptic number.

477026465760 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 477026465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951137510400).

477026465760 is an abundant number, since it is smaller than the sum of its proper divisors (1425248555040).

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

477026465760 is a wasteful number, since it uses less digits than its factorization.

477026465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 477026465760 in words is "four hundred seventy-seven billion, twenty-six million, four hundred sixty-five thousand, seven hundred sixty".