9878671440 has 640 divisors, whose sum is σ = 40426698240. Its totient is φ = 2189721600.

The previous prime is 9878671433. The next prime is 9878671441. The reversal of 9878671440 is 441768789.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9878671441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14944710 + ... + 14945370.

It is an arithmetic number, because the mean of its divisors is an integer number (63166716).

Almost surely, 2^9878671440 is an apocalyptic number.

9878671440 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 9878671440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213349120).

9878671440 is an abundant number, since it is smaller than the sum of its proper divisors (30548026800).

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

9878671440 is a wasteful number, since it uses less digits than its factorization.

9878671440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 9878671440 is about 99391.5058744961. The cubic root of 9878671440 is about 2145.6860634917.

The spelling of 9878671440 in words is "nine billion, eight hundred seventy-eight million, six hundred seventy-one thousand, four hundred forty".