461371680000 has 2880 divisors, whose sum is σ = 2268113971200. Its totient is φ = 89579520000.

The previous prime is 461371679999. The next prime is 461371680017. The reversal of 461371680000 is 86173164.

461371680000 is a `hidden beast` number, since 461 + 37 + 168 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6320159964 + ... + 6320160036.

Almost surely, 2^461371680000 is an apocalyptic number.

461371680000 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 461371680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134056985600).

461371680000 is an abundant number, since it is smaller than the sum of its proper divisors (1806742291200).

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

461371680000 is a wasteful number, since it uses less digits than its factorization.

461371680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 461371680000 in words is "four hundred sixty-one billion, three hundred seventy-one million, six hundred eighty thousand".