8415245664 has 288 divisors, whose sum is σ = 28392227136. Its totient is φ = 2314137600.

The previous prime is 8415245653. The next prime is 8415245737. The reversal of 8415245664 is 4665425148.

It is a happy number.

8415245664 is a `hidden beast` number, since 84 + 1 + 5 + 2 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7533234 + ... + 7534350.

It is an arithmetic number, because the mean of its divisors is an integer number (98584122).

Almost surely, 2^8415245664 is an apocalyptic number.

8415245664 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 8415245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196113568).

8415245664 is an abundant number, since it is smaller than the sum of its proper divisors (19976981472).

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

8415245664 is a wasteful number, since it uses less digits than its factorization.

8415245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1267 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 8415245664 is about 91734.6481107329. The cubic root of 8415245664 is about 2034.0217828467.

The spelling of 8415245664 in words is "eight billion, four hundred fifteen million, two hundred forty-five thousand, six hundred sixty-four".