461607457680 has 240 divisors, whose sum is σ = 1589169005424. Its totient is φ = 120007802880.

The previous prime is 461607457679. The next prime is 461607457687. The reversal of 461607457680 is 86754706164.

461607457680 is a `hidden beast` number, since 4 + 6 + 1 + 60 + 7 + 4 + 576 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73608030864 + 387999426816 = 271308^2 + 622896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (461607457687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48909922 + ... + 48919358.

Almost surely, 2^461607457680 is an apocalyptic number.

461607457680 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 461607457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794584502712).

461607457680 is an abundant number, since it is smaller than the sum of its proper divisors (1127561547744).

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

461607457680 is a wasteful number, since it uses less digits than its factorization.

461607457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11154 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 461607457680 in words is "four hundred sixty-one billion, six hundred seven million, four hundred fifty-seven thousand, six hundred eighty".