461960827257600 has 5184 divisors, whose sum is σ = 2051935654379520. Its totient is φ = 101865351168000.

The previous prime is 461960827257599. The next prime is 461960827257623. The reversal of 461960827257600 is 6752728069164.

461960827257600 is a `hidden beast` number, since 4 + 6 + 19 + 6 + 0 + 8 + 2 + 7 + 2 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×461960827257600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3637486828737 + ... + 3637486828863.

Almost surely, 2^{461960827257600} is an apocalyptic number.

461960827257600 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 461960827257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025967827189760).

461960827257600 is an abundant number, since it is smaller than the sum of its proper divisors (1589974827121920).

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

461960827257600 is a wasteful number, since it uses less digits than its factorization.

461960827257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 461960827257600 in words is "four hundred sixty-one trillion, nine hundred sixty billion, eight hundred twenty-seven million, two hundred fifty-seven thousand, six hundred".