8464648765440 has 576 divisors, whose sum is σ = 32586597872640. Its totient is φ = 1832889876480.

The previous prime is 8464648765429. The next prime is 8464648765457. The reversal of 8464648765440 is 445678464648.

It is a super-2 number, since 2×8464648765440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261472455 + ... + 261504825.

It is an arithmetic number, because the mean of its divisors is an integer number (56573954640).

Almost surely, 2^{8464648765440} is an apocalyptic number.

8464648765440 is a gapful number since it is divisible by the number (80) 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 8464648765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293298936320).

8464648765440 is an abundant number, since it is smaller than the sum of its proper divisors (24121949107200).

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

8464648765440 is an equidigital number, since it uses as much as digits as its factorization.

8464648765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32439 (or 32407 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 66.

The spelling of 8464648765440 in words is "eight trillion, four hundred sixty-four billion, six hundred forty-eight million, seven hundred sixty-five thousand, four hundred forty".