7810129820934 has 192 divisors, whose sum is σ = 20160084672000. Its totient is φ = 2219861127168.

The previous prime is 7810129820887. The next prime is 7810129820953. The reversal of 7810129820934 is 4390289210187.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196218182 + ... + 1196224710.

It is an arithmetic number, because the mean of its divisors is an integer number (105000441000).

Almost surely, 2^{7810129820934} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7810129820934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080042336000).

7810129820934 is an abundant number, since it is smaller than the sum of its proper divisors (12349954851066).

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

7810129820934 is a wasteful number, since it uses less digits than its factorization.

7810129820934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 7810129820934 in words is "seven trillion, eight hundred ten billion, one hundred twenty-nine million, eight hundred twenty thousand, nine hundred thirty-four".