7293105864 has 80 divisors (see below), whose sum is σ = 22284511920. Its totient is φ = 2210029920.

The previous prime is 7293105851. The next prime is 7293105887. The reversal of 7293105864 is 4685013927.

7293105864 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7293105864² (a number of 21 digits) contains 22 as substring.

7293105864 is strictly pandigital in base 10.

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 19 ways as a sum of consecutive naturals, for example, 504454 + ... + 518709.

It is an arithmetic number, because the mean of its divisors is an integer number (278556399).

It is a 1-persistent number, because it is pandigital, but 2⋅7293105864 = 14586211728 is not.

Almost surely, 2^7293105864 is an apocalyptic number.

It is an amenable number.

7293105864 is an abundant number, since it is smaller than the sum of its proper divisors (14991406056).

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

7293105864 is a wasteful number, since it uses less digits than its factorization.

7293105864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023192 (or 1023179 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7293105864 is about 85399.6830439083. The cubic root of 7293105864 is about 1939.2665474112.

The spelling of 7293105864 in words is "seven billion, two hundred ninety-three million, one hundred five thousand, eight hundred sixty-four".