9705802680 has 576 divisors, whose sum is σ = 39028055040. Its totient is φ = 2047928832.

The previous prime is 9705802657. The next prime is 9705802681. The reversal of 9705802680 is 862085079.

9705802680 is a `hidden beast` number, since 9 + 7 + 0 + 580 + 2 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705802681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42756727 + ... + 42756953.

It is an arithmetic number, because the mean of its divisors is an integer number (67757040).

Almost surely, 2^9705802680 is an apocalyptic number.

9705802680 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 9705802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514027520).

9705802680 is an abundant number, since it is smaller than the sum of its proper divisors (29322252360).

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

9705802680 is a wasteful number, since it uses less digits than its factorization.

9705802680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

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

The square root of 9705802680 is about 98518.0322580592. The cubic root of 9705802680 is about 2133.0964156388.

The spelling of 9705802680 in words is "nine billion, seven hundred five million, eight hundred two thousand, six hundred eighty".