6461993180160 has 2376 divisors, whose sum is σ = 27966236918256. Its totient is φ = 1374549442560.

The previous prime is 6461993180141. The next prime is 6461993180177. The reversal of 6461993180160 is 610813991646.

It is a happy number.

6461993180160 is a `hidden beast` number, since 6 + 4 + 619 + 9 + 3 + 1 + 8 + 0 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6461993180097 and 6461993180106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77855339479 + ... + 77855339561.

Almost surely, 2^{6461993180160} is an apocalyptic number.

6461993180160 is a gapful number since it is divisible by the number (60) 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 6461993180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983118459128).

6461993180160 is an abundant number, since it is smaller than the sum of its proper divisors (21504243738096).

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

6461993180160 is a wasteful number, since it uses less digits than its factorization.

6461993180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 6461993180160 in words is "six trillion, four hundred sixty-one billion, nine hundred ninety-three million, one hundred eighty thousand, one hundred sixty".