9786934080 has 896 divisors, whose sum is σ = 44101877760. Its totient is φ = 1984020480.

The previous prime is 9786934063. The next prime is 9786934099. The reversal of 9786934080 is 804396879.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31268004 + ... + 31268316.

Almost surely, 2^9786934080 is an apocalyptic number.

9786934080 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 9786934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050938880).

9786934080 is an abundant number, since it is smaller than the sum of its proper divisors (34314943680).

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

9786934080 is a wasteful number, since it uses less digits than its factorization.

9786934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9786934080 is about 98928.9344934029. The cubic root of 9786934080 is about 2139.0234925199.

The spelling of 9786934080 in words is "nine billion, seven hundred eighty-six million, nine hundred thirty-four thousand, eighty".