9378684098640 has 800 divisors, whose sum is σ = 36401384448000. Its totient is φ = 2224052453376.

The previous prime is 9378684098639. The next prime is 9378684098653. The reversal of 9378684098640 is 468904868739.

9378684098640 is a `hidden beast` number, since 93 + 78 + 6 + 8 + 409 + 8 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 814186801 + ... + 814198319.

It is an arithmetic number, because the mean of its divisors is an integer number (45501730560).

Almost surely, 2^{9378684098640} is an apocalyptic number.

9378684098640 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 9378684098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200692224000).

9378684098640 is an abundant number, since it is smaller than the sum of its proper divisors (27022700349360).

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

9378684098640 is a wasteful number, since it uses less digits than its factorization.

9378684098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 9378684098640 in words is "nine trillion, three hundred seventy-eight billion, six hundred eighty-four million, ninety-eight thousand, six hundred forty".