7834936121460 has 216 divisors, whose sum is σ = 29272375346760. Its totient is φ = 1685498830848.

The previous prime is 7834936121417. The next prime is 7834936121567. The reversal of 7834936121460 is 641216394387.

7834936121460 is a `hidden beast` number, since 7 + 8 + 3 + 4 + 9 + 3 + 612 + 14 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 688627786896 + 7146308334564 = 829836^2 + 2673258^2 .

It is a super-2 number, since 2×7834936121460² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7834936121397 and 7834936121406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25976965 + ... + 26276844.

It is an arithmetic number, because the mean of its divisors is an integer number (135520256235).

Almost surely, 2^{7834936121460} is an apocalyptic number.

7834936121460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7834936121460 is an abundant number, since it is smaller than the sum of its proper divisors (21437439225300).

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

7834936121460 is a wasteful number, since it uses less digits than its factorization.

7834936121460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52253855 (or 52253843 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7834936121460 in words is "seven trillion, eight hundred thirty-four billion, nine hundred thirty-six million, one hundred twenty-one thousand, four hundred sixty".