7828842375000 has 560 divisors, whose sum is σ = 28079675731800. Its totient is φ = 2036664000000.

The previous prime is 7828842374993. The next prime is 7828842375049. The reversal of 7828842375000 is 5732488287.

7828842375000 is a `hidden beast` number, since 7 + 8 + 28 + 84 + 2 + 37 + 500 + 0 = 666.

It is a super-2 number, since 2×7828842375000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 415115571 + ... + 415134429.

Almost surely, 2^{7828842375000} 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 7828842375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039837865900).

7828842375000 is an abundant number, since it is smaller than the sum of its proper divisors (20250833356800).

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

7828842375000 is an equidigital number, since it uses as much as digits as its factorization.

7828842375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 18910 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 7828842375000 in words is "seven trillion, eight hundred twenty-eight billion, eight hundred forty-two million, three hundred seventy-five thousand".