9625738848 has 192 divisors, whose sum is σ = 28739950848. Its totient is φ = 2794936320.

The previous prime is 9625738847. The next prime is 9625738849. The reversal of 9625738848 is 8488375269.

It is an interprime number because it is at equal distance from previous prime (9625738847) and next prime (9625738849).

It is a junction number, because it is equal to n+sod(n) for n = 9625738791 and 9625738800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625738847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615986 + ... + 2619662.

It is an arithmetic number, because the mean of its divisors is an integer number (149687244).

Almost surely, 2^9625738848 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 9625738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369975424).

9625738848 is an abundant number, since it is smaller than the sum of its proper divisors (19114212000).

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

9625738848 is a wasteful number, since it uses less digits than its factorization.

9625738848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3797 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The square root of 9625738848 is about 98110.8497975632. The cubic root of 9625738848 is about 2127.2148605408.

The spelling of 9625738848 in words is "nine billion, six hundred twenty-five million, seven hundred thirty-eight thousand, eight hundred forty-eight".