6461213568 has 128 divisors (see below), whose sum is σ = 18321811200. Its totient is φ = 2011484160.

The previous prime is 6461213557. The next prime is 6461213569. The reversal of 6461213568 is 8653121646.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461213569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511780 + ... + 524252.

It is an arithmetic number, because the mean of its divisors is an integer number (143139150).

Almost surely, 2^6461213568 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 6461213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160905600).

6461213568 is an abundant number, since it is smaller than the sum of its proper divisors (11860597632).

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

6461213568 is a wasteful number, since it uses less digits than its factorization.

6461213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12568 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 6461213568 is about 80381.6743294142. The cubic root of 6461213568 is about 1862.5360988034.

The spelling of 6461213568 in words is "six billion, four hundred sixty-one million, two hundred thirteen thousand, five hundred sixty-eight".