481633205760 has 800 divisors, whose sum is σ = 2019829597632. Its totient is φ = 107389255680.

The previous prime is 481633205747. The next prime is 481633205773. The reversal of 481633205760 is 67502336184.

481633205760 is a `hidden beast` number, since 4 + 8 + 1 + 633 + 2 + 0 + 5 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481633205747) and next prime (481633205773).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59508274 + ... + 59516366.

Almost surely, 2^481633205760 is an apocalyptic number.

481633205760 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 481633205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009914798816).

481633205760 is an abundant number, since it is smaller than the sum of its proper divisors (1538196391872).

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

481633205760 is an equidigital number, since it uses as much as digits as its factorization.

481633205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 481633205760 in words is "four hundred eighty-one billion, six hundred thirty-three million, two hundred five thousand, seven hundred sixty".