9834864480 has 720 divisors, whose sum is σ = 42797595456. Its totient is φ = 2113413120.

The previous prime is 9834864461. The next prime is 9834864499. The reversal of 9834864480 is 844684389.

9834864480 is a `hidden beast` number, since 9 + 83 + 4 + 86 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9834864461) and next prime (9834864499).

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10795225 + ... + 10796135.

Almost surely, 2^9834864480 is an apocalyptic number.

9834864480 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 9834864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398797728).

9834864480 is an abundant number, since it is smaller than the sum of its proper divisors (32962730976).

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

9834864480 is a wasteful number, since it uses less digits than its factorization.

9834864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 9834864480 is about 99170.8852436036. The cubic root of 9834864480 is about 2142.5096826345.

The spelling of 9834864480 in words is "nine billion, eight hundred thirty-four million, eight hundred sixty-four thousand, four hundred eighty".