477763038720 has 1680 divisors, whose sum is σ = 2038895158608. Its totient is φ = 106062151680.

The previous prime is 477763038637. The next prime is 477763038733. The reversal of 477763038720 is 27830367774.

477763038720 is a `hidden beast` number, since 477 + 76 + 3 + 0 + 3 + 87 + 20 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12912514542 + ... + 12912514578.

Almost surely, 2^477763038720 is an apocalyptic number.

477763038720 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 477763038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019447579304).

477763038720 is an abundant number, since it is smaller than the sum of its proper divisors (1561132119888).

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

477763038720 is an equidigital number, since it uses as much as digits as its factorization.

477763038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 477763038720 in words is "four hundred seventy-seven billion, seven hundred sixty-three million, thirty-eight thousand, seven hundred twenty".