7318288465920 has 1368 divisors, whose sum is σ = 28232829784224. Its totient is φ = 1816242683904.

The previous prime is 7318288465919. The next prime is 7318288465921. The reversal of 7318288465920 is 295648828137.

7318288465920 is a `hidden beast` number, since 7 + 3 + 1 + 8 + 2 + 88 + 465 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7318288465919) and next prime (7318288465921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7318288465921) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 197791580142 + ... + 197791580178.

It is an arithmetic number, because the mean of its divisors is an integer number (20638033468).

It is a 1-persistent number, because it is pandigital, but 2⋅7318288465920 = 14636576931840 is not.

Almost surely, 2^{7318288465920} 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 7318288465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116414892112).

7318288465920 is an abundant number, since it is smaller than the sum of its proper divisors (20914541318304).

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

7318288465920 is an frugal number, since it uses more digits than its factorization.

7318288465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 7318288465920 in words is "seven trillion, three hundred eighteen billion, two hundred eighty-eight million, four hundred sixty-five thousand, nine hundred twenty".