9868451040 has 864 divisors, whose sum is σ = 43762511520. Its totient is φ = 2006581248.

The previous prime is 9868450973. The next prime is 9868451063. The reversal of 9868451040 is 401548689.

9868451040 is a `hidden beast` number, since 98 + 6 + 8 + 4 + 510 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 22790664 + ... + 22791096.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 2^9868451040 is an apocalyptic number.

9868451040 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 9868451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881255760).

9868451040 is an abundant number, since it is smaller than the sum of its proper divisors (33894060480).

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

9868451040 is a wasteful number, since it uses less digits than its factorization.

9868451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9868451040 is about 99340.0777128748. The cubic root of 9868451040 is about 2144.9458378747.

The spelling of 9868451040 in words is "nine billion, eight hundred sixty-eight million, four hundred fifty-one thousand, forty".