6461797442688 has 384 divisors, whose sum is σ = 21992013388800. Its totient is φ = 1781885952000.

The previous prime is 6461797442687. The next prime is 6461797442741. The reversal of 6461797442688 is 8862447971646.

6461797442688 is a `hidden beast` number, since 6 + 4 + 6 + 17 + 97 + 442 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6461797442687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174655938 + ... + 1174661438.

It is an arithmetic number, because the mean of its divisors is an integer number (57270868200).

Almost surely, 2^{6461797442688} 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 6461797442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996006694400).

6461797442688 is an abundant number, since it is smaller than the sum of its proper divisors (15530215946112).

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

6461797442688 is a wasteful number, since it uses less digits than its factorization.

6461797442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10565 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 6461797442688 in words is "six trillion, four hundred sixty-one billion, seven hundred ninety-seven million, four hundred forty-two thousand, six hundred eighty-eight".