9987810624 has 280 divisors, whose sum is σ = 34201778688. Its totient is φ = 2848296960.

The previous prime is 9987810601. The next prime is 9987810649. The reversal of 9987810624 is 4260187899.

9987810624 is a `hidden beast` number, since 9 + 9 + 8 + 7 + 8 + 1 + 0 + 624 = 666.

It is a super-2 number, since 2×9987810624² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 964257 + ... + 974559.

Almost surely, 2^9987810624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100889344).

9987810624 is an abundant number, since it is smaller than the sum of its proper divisors (24213968064).

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

9987810624 is a wasteful number, since it uses less digits than its factorization.

9987810624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9987810624 is about 99939.0345360610. The cubic root of 9987810624 is about 2153.5589602987.

The spelling of 9987810624 in words is "nine billion, nine hundred eighty-seven million, eight hundred ten thousand, six hundred twenty-four".