6461642057416 has 128 divisors (see below), whose sum is σ = 14945074663680. Its totient is φ = 2550500130816.

The previous prime is 6461642057407. The next prime is 6461642057419. The reversal of 6461642057416 is 6147502461646.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6461642057419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368120031 + ... + 1368124753.

It is an arithmetic number, because the mean of its divisors is an integer number (116758395810).

Almost surely, 2^{6461642057416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461642057416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472537331840).

6461642057416 is an abundant number, since it is smaller than the sum of its proper divisors (8483432606264).

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

6461642057416 is a wasteful number, since it uses less digits than its factorization.

6461642057416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 6461642057416 in words is "six trillion, four hundred sixty-one billion, six hundred forty-two million, fifty-seven thousand, four hundred sixteen".