65268307584480 has 768 divisors, whose sum is σ = 276280002496512. Its totient is φ = 12508286976000.

The previous prime is 65268307584461. The next prime is 65268307584503. The reversal of 65268307584480 is 8448570386256.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567389370 + ... + 567504390.

It is an arithmetic number, because the mean of its divisors is an integer number (359739586584).

Almost surely, 2^{65268307584480} is an apocalyptic number.

65268307584480 is a gapful number since it is divisible by the number (60) 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 65268307584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140001248256).

65268307584480 is an abundant number, since it is smaller than the sum of its proper divisors (211011694912032).

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

65268307584480 is a wasteful number, since it uses less digits than its factorization.

65268307584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116251 (or 116243 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 65268307584480 in words is "sixty-five trillion, two hundred sixty-eight billion, three hundred seven million, five hundred eighty-four thousand, four hundred eighty".