7268382720 has 576 divisors, whose sum is σ = 27474370560. Its totient is φ = 1839366144.

The previous prime is 7268382713. The next prime is 7268382733. The reversal of 7268382720 is 272838627.

7268382720 is a `hidden beast` number, since 7 + 268 + 382 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57231297 + ... + 57231423.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^7268382720 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 7268382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280).

7268382720 is an abundant number, since it is smaller than the sum of its proper divisors (20205987840).

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

7268382720 is a wasteful number, since it uses less digits than its factorization.

7268382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7268382720 is about 85254.8105387608. The cubic root of 7268382720 is about 1937.0727383635.

It can be divided in two parts, 72683 and 82720, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 7268382720 in words is "seven billion, two hundred sixty-eight million, three hundred eighty-two thousand, seven hundred twenty".