9959768474040 has 384 divisors, whose sum is σ = 40402579576320. Its totient is φ = 2067197414400.

The previous prime is 9959768474023. The next prime is 9959768474057. The reversal of 9959768474040 is 404748679599.

9959768474040 is a `hidden beast` number, since 9 + 9 + 5 + 97 + 68 + 474 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9959768474023) and next prime (9959768474057).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9959768474040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24105595 + ... + 24515285.

It is an arithmetic number, because the mean of its divisors is an integer number (105215050980).

Almost surely, 2^{9959768474040} is an apocalyptic number.

9959768474040 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 9959768474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201289788160).

9959768474040 is an abundant number, since it is smaller than the sum of its proper divisors (30442811102280).

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

9959768474040 is a wasteful number, since it uses less digits than its factorization.

9959768474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410603 (or 410596 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 9959768474040 in words is "nine trillion, nine hundred fifty-nine billion, seven hundred sixty-eight million, four hundred seventy-four thousand, forty".