7817394328128 has 2240 divisors, whose sum is σ = 31817426116608. Its totient is φ = 1836021841920.

The previous prime is 7817394328099. The next prime is 7817394328141. The reversal of 7817394328128 is 8218234937187.

7817394328128 is a `hidden beast` number, since 7 + 8 + 1 + 73 + 9 + 432 + 8 + 128 = 666.

It is a super-2 number, since 2×7817394328128² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 319 ways as a sum of consecutive naturals, for example, 21300801801 + ... + 21300802167.

Almost surely, 2^{7817394328128} 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 7817394328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908713058304).

7817394328128 is an abundant number, since it is smaller than the sum of its proper divisors (24000031788480).

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

7817394328128 is a wasteful number, since it uses less digits than its factorization.

7817394328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 7817394328128 in words is "seven trillion, eight hundred seventeen billion, three hundred ninety-four million, three hundred twenty-eight thousand, one hundred twenty-eight".