8472264768 has 224 divisors, whose sum is σ = 28602432000. Its totient is φ = 2432125440.

The previous prime is 8472264763. The next prime is 8472264781. The reversal of 8472264768 is 8674622748.

It is a happy number.

8472264768 is a `hidden beast` number, since 84 + 72 + 26 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8472264763) 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, 349423 + ... + 372881.

Almost surely, 2^8472264768 is an apocalyptic number.

8472264768 is a gapful number since it is divisible by the number (88) 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 8472264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301216000).

8472264768 is an abundant number, since it is smaller than the sum of its proper divisors (20130167232).

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

8472264768 is a wasteful number, since it uses less digits than its factorization.

8472264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23510 (or 23494 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 8472264768 is about 92044.9062577609. The cubic root of 8472264768 is about 2038.6054136310.

The spelling of 8472264768 in words is "eight billion, four hundred seventy-two million, two hundred sixty-four thousand, seven hundred sixty-eight".