6461632361646 has 64 divisors (see below), whose sum is σ = 17902358069760. Its totient is φ = 1678346066880.

The previous prime is 6461632361633. The next prime is 6461632361659.

6461632361646 is a `hidden beast` number, since 6 + 4 + 6 + 16 + 3 + 2 + 3 + 616 + 4 + 6 = 666.

6461632361646 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6461632361633) and next prime (6461632361659).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6461632361592 and 6461632361601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777007911 + ... + 777016226.

It is an arithmetic number, because the mean of its divisors is an integer number (279724344840).

Almost surely, 2^{6461632361646} is an apocalyptic number.

6461632361646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6461632361646 is an abundant number, since it is smaller than the sum of its proper divisors (11440725708114).

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

6461632361646 is a wasteful number, since it uses less digits than its factorization.

6461632361646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554024166 (or 1554024160 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 6461632361646 in words is "six trillion, four hundred sixty-one billion, six hundred thirty-two million, three hundred sixty-one thousand, six hundred forty-six".