461266730073360 has 200 divisors, whose sum is σ = 1639304613355200. Its totient is φ = 120143892411648.

The previous prime is 461266730073349. The next prime is 461266730073389. The reversal of 461266730073360 is 63370037662164.

461266730073360 is a `hidden beast` number, since 4 + 6 + 1 + 266 + 7 + 300 + 73 + 3 + 6 + 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 = 461266730073297 and 461266730073306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 827432260 + ... + 827989539.

It is an arithmetic number, because the mean of its divisors is an integer number (8196523066776).

Almost surely, 2^{461266730073360} is an apocalyptic number.

461266730073360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461266730073360 is an abundant number, since it is smaller than the sum of its proper divisors (1178037883281840).

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

461266730073360 is a wasteful number, since it uses less digits than its factorization.

461266730073360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655421867 (or 1655421852 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 461266730073360 in words is "four hundred sixty-one trillion, two hundred sixty-six billion, seven hundred thirty million, seventy-three thousand, three hundred sixty".