7079089584672 has 288 divisors, whose sum is σ = 24030828057600. Its totient is φ = 2008043820288.

The previous prime is 7079089584649. The next prime is 7079089584691. The reversal of 7079089584672 is 2764859809707.

7079089584672 is a `hidden beast` number, since 7 + 0 + 79 + 0 + 8 + 95 + 8 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7079089584672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7079089584672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7098229 + ... + 8033867.

It is an arithmetic number, because the mean of its divisors is an integer number (83440375200).

Almost surely, 2^{7079089584672} is an apocalyptic number.

7079089584672 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 7079089584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015414028800).

7079089584672 is an abundant number, since it is smaller than the sum of its proper divisors (16951738472928).

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

7079089584672 is a wasteful number, since it uses less digits than its factorization.

7079089584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935810 (or 935790 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 7079089584672 in words is "seven trillion, seventy-nine billion, eighty-nine million, five hundred eighty-four thousand, six hundred seventy-two".