8414599680 has 640 divisors, whose sum is σ = 32055091200. Its totient is φ = 2087534592.

The previous prime is 8414599679. The next prime is 8414599709. The reversal of 8414599680 is 869954148.

8414599680 is a `hidden beast` number, since 8 + 41 + 4 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8414599680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106513881 + ... + 106513959.

It is an arithmetic number, because the mean of its divisors is an integer number (50086080).

Almost surely, 2^8414599680 is an apocalyptic number.

8414599680 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 8414599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027545600).

8414599680 is an abundant number, since it is smaller than the sum of its proper divisors (23640491520).

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

8414599680 is a wasteful number, since it uses less digits than its factorization.

8414599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8414599680 is about 91731.1271052526. The cubic root of 8414599680 is about 2033.9697352812.

The spelling of 8414599680 in words is "eight billion, four hundred fourteen million, five hundred ninety-nine thousand, six hundred eighty".