9613381680 has 960 divisors, whose sum is σ = 41741256960. Its totient is φ = 1932263424.

The previous prime is 9613381667. The next prime is 9613381693. The reversal of 9613381680 is 861833169.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9613381667) and next prime (9613381693).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131690124 + ... + 131690196.

It is an arithmetic number, because the mean of its divisors is an integer number (43480476).

Almost surely, 2^9613381680 is an apocalyptic number.

9613381680 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 9613381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20870628480).

9613381680 is an abundant number, since it is smaller than the sum of its proper divisors (32127875280).

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

9613381680 is a wasteful number, since it uses less digits than its factorization.

9613381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9613381680 is about 98047.8540305702. The cubic root of 9613381680 is about 2126.3041907789.

The spelling of 9613381680 in words is "nine billion, six hundred thirteen million, three hundred eighty-one thousand, six hundred eighty".