9701627680 has 96 divisors (see below), whose sum is σ = 23209804800. Its totient is φ = 3831831552.

The previous prime is 9701627641. The next prime is 9701627681. The reversal of 9701627680 is 867261079.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9701627680.

It is not an unprimeable number, because it can be changed into a prime (9701627681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7893306 + ... + 7894534.

It is an arithmetic number, because the mean of its divisors is an integer number (241768800).

Almost surely, 2^9701627680 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 9701627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604902400).

9701627680 is an abundant number, since it is smaller than the sum of its proper divisors (13508177120).

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

9701627680 is a wasteful number, since it uses less digits than its factorization.

9701627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 9701627680 is about 98496.8409645710. The cubic root of 9701627680 is about 2132.7905177111.

The spelling of 9701627680 in words is "nine billion, seven hundred one million, six hundred twenty-seven thousand, six hundred eighty".