9714878299800 has 768 divisors, whose sum is σ = 37375357824000. Its totient is φ = 2304970629120.

The previous prime is 9714878299799. The next prime is 9714878299807. The reversal of 9714878299800 is 89928784179.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9714878299807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 849419682 + ... + 849431118.

It is an arithmetic number, because the mean of its divisors is an integer number (48665830500).

Almost surely, 2^{9714878299800} is an apocalyptic number.

9714878299800 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 9714878299800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687678912000).

9714878299800 is an abundant number, since it is smaller than the sum of its proper divisors (27660479524200).

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

9714878299800 is a wasteful number, since it uses less digits than its factorization.

9714878299800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11985 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 9714878299800 in words is "nine trillion, seven hundred fourteen billion, eight hundred seventy-eight million, two hundred ninety-nine thousand, eight hundred".