7180072308864 has 1536 divisors, whose sum is σ = 27259455283200. Its totient is φ = 1843546521600.

The previous prime is 7180072308833. The next prime is 7180072308883. The reversal of 7180072308864 is 4688032700817.

It is a happy number.

It is a super-2 number, since 2×7180072308864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7180072308864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17054803374 + ... + 17054803794.

It is an arithmetic number, because the mean of its divisors is an integer number (17747041200).

Almost surely, 2^{7180072308864} 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 7180072308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629727641600).

7180072308864 is an abundant number, since it is smaller than the sum of its proper divisors (20079382974336).

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

7180072308864 is a wasteful number, since it uses less digits than its factorization.

7180072308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 7180072308864 in words is "seven trillion, one hundred eighty billion, seventy-two million, three hundred eight thousand, eight hundred sixty-four".