8734296960 has 512 divisors, whose sum is σ = 33488640000. Its totient is φ = 2143936512.

The previous prime is 8734296931. The next prime is 8734297031. The reversal of 8734296960 is 696924378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8734296897 and 8734296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12147481 + ... + 12148199.

It is an arithmetic number, because the mean of its divisors is an integer number (65407500).

Almost surely, 2^8734296960 is an apocalyptic number.

8734296960 is a gapful number since it is divisible by the number (80) 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 8734296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320000).

8734296960 is an abundant number, since it is smaller than the sum of its proper divisors (24754343040).

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

8734296960 is a wasteful number, since it uses less digits than its factorization.

8734296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8734296960 is about 93457.4606973675. The cubic root of 8734296960 is about 2059.4092125555.

The spelling of 8734296960 in words is "eight billion, seven hundred thirty-four million, two hundred ninety-six thousand, nine hundred sixty".