9861967440 has 480 divisors, whose sum is σ = 36998881920. Its totient is φ = 2338689024.

The previous prime is 9861967433. The next prime is 9861967459. The reversal of 9861967440 is 447691689.

9861967440 is a `hidden beast` number, since 9 + 8 + 6 + 196 + 7 + 440 = 666.

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, 43065246 + ... + 43065474.

It is an arithmetic number, because the mean of its divisors is an integer number (77081004).

Almost surely, 2^9861967440 is an apocalyptic number.

9861967440 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 9861967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499440960).

9861967440 is an abundant number, since it is smaller than the sum of its proper divisors (27136914480).

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

9861967440 is a wasteful number, since it uses less digits than its factorization.

9861967440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

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

The square root of 9861967440 is about 99307.4389962806. The cubic root of 9861967440 is about 2144.4759898196.

The spelling of 9861967440 in words is "nine billion, eight hundred sixty-one million, nine hundred sixty-seven thousand, four hundred forty".