9673614720 has 768 divisors, whose sum is σ = 44130977280. Its totient is φ = 1890385920.

The previous prime is 9673614719. The next prime is 9673614763. The reversal of 9673614720 is 274163769.

9673614720 is a `hidden beast` number, since 9 + 6 + 7 + 3 + 614 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539199 + ... + 7540481.

It is an arithmetic number, because the mean of its divisors is an integer number (57462210).

Almost surely, 2^9673614720 is an apocalyptic number.

9673614720 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 9673614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065488640).

9673614720 is an abundant number, since it is smaller than the sum of its proper divisors (34457362560).

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

9673614720 is a wasteful number, since it uses less digits than its factorization.

9673614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9673614720 is about 98354.5358384655. The cubic root of 9673614720 is about 2130.7357638024.

The spelling of 9673614720 in words is "nine billion, six hundred seventy-three million, six hundred fourteen thousand, seven hundred twenty".