9705820464 has 480 divisors, whose sum is σ = 31490484480. Its totient is φ = 2882221056.

The previous prime is 9705820459. The next prime is 9705820469. The reversal of 9705820464 is 4640285079.

It is a happy number.

9705820464 is a `hidden beast` number, since 9 + 7 + 0 + 582 + 0 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (9705820459) and next prime (9705820469).

It is not an unprimeable number, because it can be changed into a prime (9705820469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144862959 + ... + 144863025.

It is an arithmetic number, because the mean of its divisors is an integer number (65605176).

Almost surely, 2^9705820464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9705820464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745242240).

9705820464 is an abundant number, since it is smaller than the sum of its proper divisors (21784664016).

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

9705820464 is a wasteful number, since it uses less digits than its factorization.

9705820464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9705820464 is about 98518.1225156062. The cubic root of 9705820464 is about 2133.0977184664.

The spelling of 9705820464 in words is "nine billion, seven hundred five million, eight hundred twenty thousand, four hundred sixty-four".