9867268454400 has 3456 divisors, whose sum is σ = 45049916620800. Its totient is φ = 2106910310400.

The previous prime is 9867268454399. The next prime is 9867268454443. The reversal of 9867268454400 is 44548627689.

9867268454400 is a `hidden beast` number, since 9 + 8 + 6 + 7 + 2 + 6 + 84 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77695027137 + ... + 77695027263.

It is an arithmetic number, because the mean of its divisors is an integer number (13035276800).

Almost surely, 2^{9867268454400} is an apocalyptic number.

9867268454400 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 9867268454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22524958310400).

9867268454400 is an abundant number, since it is smaller than the sum of its proper divisors (35182648166400).

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

9867268454400 is a wasteful number, since it uses less digits than its factorization.

9867268454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 9867268454400 in words is "nine trillion, eight hundred sixty-seven billion, two hundred sixty-eight million, four hundred fifty-four thousand, four hundred".