7129734976 has 112 divisors (see below), whose sum is σ = 17505988864. Its totient is φ = 2805497856.

The previous prime is 7129734973. The next prime is 7129734977. The reversal of 7129734976 is 6794379217.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7129734973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120861 + ... + 1127203.

It is an arithmetic number, because the mean of its divisors is an integer number (156303472).

Almost surely, 2^7129734976 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 7129734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752994432).

7129734976 is an abundant number, since it is smaller than the sum of its proper divisors (10376253888).

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

7129734976 is a wasteful number, since it uses less digits than its factorization.

7129734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6558 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 55.

The square root of 7129734976 is about 84437.7579996058. The cubic root of 7129734976 is about 1924.6767299737.

The spelling of 7129734976 in words is "seven billion, one hundred twenty-nine million, seven hundred thirty-four thousand, nine hundred seventy-six".