7834126457280 has 336 divisors, whose sum is σ = 26277391509120. Its totient is φ = 1971998724096.

The previous prime is 7834126457251. The next prime is 7834126457291. The reversal of 7834126457280 is 827546214387.

It is a super-2 number, since 2×7834126457280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7834126457280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565883259 + ... + 1565888261.

Almost surely, 2^{7834126457280} 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 7834126457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138695754560).

7834126457280 is an abundant number, since it is smaller than the sum of its proper divisors (18443265051840).

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

7834126457280 is a wasteful number, since it uses less digits than its factorization.

7834126457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 7834126457280 in words is "seven trillion, eight hundred thirty-four billion, one hundred twenty-six million, four hundred fifty-seven thousand, two hundred eighty".