9868752000 has 384 divisors, whose sum is σ = 37316822400. Its totient is φ = 2492467200.

The previous prime is 9868751993. The next prime is 9868752013. The reversal of 9868752000 is 2578689.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734197 + ... + 2737803.

It is an arithmetic number, because the mean of its divisors is an integer number (97179225).

Almost surely, 2^9868752000 is an apocalyptic number.

9868752000 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 9868752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18658411200).

9868752000 is an abundant number, since it is smaller than the sum of its proper divisors (27448070400).

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

9868752000 is a wasteful number, since it uses less digits than its factorization.

9868752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9868752000 is about 99341.5924978053. The cubic root of 9868752000 is about 2144.9676425914.

The spelling of 9868752000 in words is "nine billion, eight hundred sixty-eight million, seven hundred fifty-two thousand".