9725806080 has 800 divisors, whose sum is σ = 38501464320. Its totient is φ = 2335703040.

The previous prime is 9725806043. The next prime is 9725806117. The reversal of 9725806080 is 806085279.

9725806080 is a `hidden beast` number, since 9 + 7 + 2 + 580 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9725806043) and next prime (9725806117).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109278676 + ... + 109278764.

Almost surely, 2^9725806080 is an apocalyptic number.

9725806080 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 9725806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250732160).

9725806080 is an abundant number, since it is smaller than the sum of its proper divisors (28775658240).

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

9725806080 is a wasteful number, since it uses less digits than its factorization.

9725806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9725806080 is about 98619.5015197299. The cubic root of 9725806080 is about 2134.5608283006.

The spelling of 9725806080 in words is "nine billion, seven hundred twenty-five million, eight hundred six thousand, eighty".