9954826240968 has 1024 divisors, whose sum is σ = 35314414387200. Its totient is φ = 2535738670080.

The previous prime is 9954826240967. The next prime is 9954826241011. The reversal of 9954826240968 is 8690426284599.

9954826240968 is a `hidden beast` number, since 99 + 54 + 8 + 26 + 2 + 409 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9954826240896 and 9954826240905.

It is not an unprimeable number, because it can be changed into a prime (9954826240967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4108470205 + ... + 4108472627.

It is an arithmetic number, because the mean of its divisors is an integer number (34486732800).

Almost surely, 2^{9954826240968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954826240968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657207193600).

9954826240968 is an abundant number, since it is smaller than the sum of its proper divisors (25359588146232).

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

9954826240968 is a wasteful number, since it uses less digits than its factorization.

9954826240968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 9954826240968 in words is "nine trillion, nine hundred fifty-four billion, eight hundred twenty-six million, two hundred forty thousand, nine hundred sixty-eight".