7011279072 has 432 divisors, whose sum is σ = 24798009600. Its totient is φ = 1868106240.

The previous prime is 7011279071. The next prime is 7011279089. The reversal of 7011279072 is 2709721107.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7011279071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21181947 + ... + 21182277.

It is an arithmetic number, because the mean of its divisors is an integer number (57402800).

Almost surely, 2^7011279072 is an apocalyptic number.

7011279072 is a gapful number since it is divisible by the number (72) 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 7011279072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399004800).

7011279072 is an abundant number, since it is smaller than the sum of its proper divisors (17786730528).

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

7011279072 is a wasteful number, since it uses less digits than its factorization.

7011279072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 7011279072 is about 83733.3808704748. The cubic root of 7011279072 is about 1913.9580642208.

The spelling of 7011279072 in words is "seven billion, eleven million, two hundred seventy-nine thousand, seventy-two".