9625340160 has 720 divisors, whose sum is σ = 37609076736. Its totient is φ = 2341011456.

The previous prime is 9625340147. The next prime is 9625340267. The reversal of 9625340160 is 610435269.

It is a happy number.

9625340160 is a `hidden beast` number, since 9 + 62 + 534 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 75790017 + ... + 75790143.

Almost surely, 2^9625340160 is an apocalyptic number.

9625340160 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 9625340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804538368).

9625340160 is an abundant number, since it is smaller than the sum of its proper divisors (27983736576).

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

9625340160 is a wasteful number, since it uses less digits than its factorization.

9625340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9625340160 is about 98108.8179523125. The cubic root of 9625340160 is about 2127.1854911330.

The spelling of 9625340160 in words is "nine billion, six hundred twenty-five million, three hundred forty thousand, one hundred sixty".