9986739840 has 1152 divisors, whose sum is σ = 45711993600. Its totient is φ = 1962639360.

The previous prime is 9986739827. The next prime is 9986739859. The reversal of 9986739840 is 489376899.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112210516 + ... + 112210604.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^9986739840 is an apocalyptic number.

9986739840 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 9986739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

9986739840 is an abundant number, since it is smaller than the sum of its proper divisors (35725253760).

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

9986739840 is a wasteful number, since it uses less digits than its factorization.

9986739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 9986739840 is about 99933.6772064353. The cubic root of 9986739840 is about 2153.4819971891.

The spelling of 9986739840 in words is "nine billion, nine hundred eighty-six million, seven hundred thirty-nine thousand, eight hundred forty".