8419563264 has 288 divisors, whose sum is σ = 26961177600. Its totient is φ = 2280554496.

The previous prime is 8419563263. The next prime is 8419563289. The reversal of 8419563264 is 4623659148.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419563263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18423324 + ... + 18423780.

It is an arithmetic number, because the mean of its divisors is an integer number (93615200).

Almost surely, 2^8419563264 is an apocalyptic number.

8419563264 is a gapful number since it is divisible by the number (84) 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 8419563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480588800).

8419563264 is an abundant number, since it is smaller than the sum of its proper divisors (18541614336).

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

8419563264 is a wasteful number, since it uses less digits than its factorization.

8419563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 8419563264 is about 91758.1781859252. The cubic root of 8419563264 is about 2034.3695877431.

The spelling of 8419563264 in words is "eight billion, four hundred nineteen million, five hundred sixty-three thousand, two hundred sixty-four".