9978719063040 has 2816 divisors, whose sum is σ = 46589379379200. Its totient is φ = 1966640726016.

The previous prime is 9978719062999. The next prime is 9978719063051. The reversal of 9978719063040 is 403609178799.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19838407429 + ... + 19838407931.

Almost surely, 2^{9978719063040} is an apocalyptic number.

9978719063040 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 9978719063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294689689600).

9978719063040 is an abundant number, since it is smaller than the sum of its proper divisors (36610660316160).

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

9978719063040 is a wasteful number, since it uses less digits than its factorization.

9978719063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 9978719063040 in words is "nine trillion, nine hundred seventy-eight billion, seven hundred nineteen million, sixty-three thousand, forty".