9734287680 has 336 divisors, whose sum is σ = 37225004544. Its totient is φ = 2318561280.

The previous prime is 9734287679. The next prime is 9734287729. The reversal of 9734287680 is 867824379.

9734287680 is a `hidden beast` number, since 9 + 73 + 428 + 76 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156447 + ... + 1164833.

It is an arithmetic number, because the mean of its divisors is an integer number (110788704).

Almost surely, 2^9734287680 is an apocalyptic number.

9734287680 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 9734287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612502272).

9734287680 is an abundant number, since it is smaller than the sum of its proper divisors (27490716864).

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

9734287680 is a wasteful number, since it uses less digits than its factorization.

9734287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 9734287680 is about 98662.4937856326. The cubic root of 9734287680 is about 2135.1811446944.

The spelling of 9734287680 in words is "nine billion, seven hundred thirty-four million, two hundred eighty-seven thousand, six hundred eighty".