461649843768960 has 2304 divisors, whose sum is σ = 2211086518318080. Its totient is φ = 87371749785600.

The previous prime is 461649843768931. The next prime is 461649843769031. The reversal of 461649843768960 is 69867348946164.

461649843768960 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 4 + 98 + 437 + 6 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×461649843768960² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461649843768960.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1636004202 + ... + 1636286358.

It is an arithmetic number, because the mean of its divisors is an integer number (959672968020).

Almost surely, 2^{461649843768960} is an apocalyptic number.

461649843768960 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 461649843768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105543259159040).

461649843768960 is an abundant number, since it is smaller than the sum of its proper divisors (1749436674549120).

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

461649843768960 is a wasteful number, since it uses less digits than its factorization.

461649843768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282255 (or 282233 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 461649843768960 in words is "four hundred sixty-one trillion, six hundred forty-nine billion, eight hundred forty-three million, seven hundred sixty-eight thousand, nine hundred sixty".