8407714464 has 168 divisors, whose sum is σ = 24912359892. Its totient is φ = 2791895040.

The previous prime is 8407714457. The next prime is 8407714541. The reversal of 8407714464 is 4644177048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8407422864 + 291600 = 91692^2 + 540^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8234274 + ... + 8235294.

Almost surely, 2^8407714464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8407714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456179946).

8407714464 is an abundant number, since it is smaller than the sum of its proper divisors (16504645428).

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

8407714464 is a wasteful number, since it uses less digits than its factorization.

8407714464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8407714464 is about 91693.5900922196. The cubic root of 8407714464 is about 2033.4148210885.

The spelling of 8407714464 in words is "eight billion, four hundred seven million, seven hundred fourteen thousand, four hundred sixty-four".