7129080000 has 1120 divisors, whose sum is σ = 31993758720. Its totient is φ = 1520640000.

The previous prime is 7129079987. The next prime is 7129080011. The reversal of 7129080000 is 809217.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 173879980 + ... + 173880020.

It is an arithmetic number, because the mean of its divisors is an integer number (28565856).

Almost surely, 2^7129080000 is an apocalyptic number.

7129080000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996879360).

7129080000 is an abundant number, since it is smaller than the sum of its proper divisors (24864678720).

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

7129080000 is a wasteful number, since it uses less digits than its factorization.

7129080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7129080000 is about 84433.8794560572. The cubic root of 7129080000 is about 1924.6177910989.

Adding to 7129080000 its reverse (809217), we get a palindrome (7129889217).

The spelling of 7129080000 in words is "seven billion, one hundred twenty-nine million, eighty thousand".