9782599680 has 672 divisors, whose sum is σ = 41219103744. Its totient is φ = 2095054848.

The previous prime is 9782599649. The next prime is 9782599681. The reversal of 9782599680 is 869952879.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9782599680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9782599681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43868049 + ... + 43868271.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^9782599680 is an apocalyptic number.

9782599680 is a gapful number since it is divisible by the number (90) 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 9782599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

9782599680 is an abundant number, since it is smaller than the sum of its proper divisors (31436504064).

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

9782599680 is a wasteful number, since it uses less digits than its factorization.

9782599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 9782599680 is about 98907.0254329792. The cubic root of 9782599680 is about 2138.7076717062.

The spelling of 9782599680 in words is "nine billion, seven hundred eighty-two million, five hundred ninety-nine thousand, six hundred eighty".