6465886691264 has 896 divisors, whose sum is σ = 18464235847680. Its totient is φ = 2163345408000.

The previous prime is 6465886691261. The next prime is 6465886691287. The reversal of 6465886691264 is 4621966885646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6465886691261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23342551094 + ... + 23342551370.

It is an arithmetic number, because the mean of its divisors is an integer number (20607406080).

Almost surely, 2^{6465886691264} is an apocalyptic number.

6465886691264 is a gapful number since it is divisible by the number (64) 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 6465886691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232117923840).

6465886691264 is an abundant number, since it is smaller than the sum of its proper divisors (11998349156416).

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

6465886691264 is a wasteful number, since it uses less digits than its factorization.

6465886691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 71.

The spelling of 6465886691264 in words is "six trillion, four hundred sixty-five billion, eight hundred eighty-six million, six hundred ninety-one thousand, two hundred sixty-four".