461727820800 has 264 divisors, whose sum is σ = 1695596422800. Its totient is φ = 123127234560.

The previous prime is 461727820759. The next prime is 461727820817. The reversal of 461727820800 is 8028727164.

461727820800 is a `hidden beast` number, since 4 + 617 + 2 + 7 + 8 + 20 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357196 + ... + 1025204.

Almost surely, 2^461727820800 is an apocalyptic number.

461727820800 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 461727820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847798211400).

461727820800 is an abundant number, since it is smaller than the sum of its proper divisors (1233868602000).

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

461727820800 is a wasteful number, since it uses less digits than its factorization.

461727820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668048 (or 668019 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 461727820800 in words is "four hundred sixty-one billion, seven hundred twenty-seven million, eight hundred twenty thousand, eight hundred".