7079540227200 has 3456 divisors, whose sum is σ = 32474562120000. Its totient is φ = 1515804917760.

The previous prime is 7079540227189. The next prime is 7079540227217. The reversal of 7079540227200 is 27220459707.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47513692726 + ... + 47513692874.

Almost surely, 2^{7079540227200} is an apocalyptic number.

7079540227200 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 7079540227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237281060000).

7079540227200 is an abundant number, since it is smaller than the sum of its proper divisors (25395021892800).

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

7079540227200 is a wasteful number, since it uses less digits than its factorization.

7079540227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 7079540227200 in words is "seven trillion, seventy-nine billion, five hundred forty million, two hundred twenty-seven thousand, two hundred".