7264944000720 has 720 divisors, whose sum is σ = 28941806088000. Its totient is φ = 1627929612288.

The previous prime is 7264944000707. The next prime is 7264944000731. The reversal of 7264944000720 is 270004494627.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7264944000720² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 788891476 + ... + 788900684.

It is an arithmetic number, because the mean of its divisors is an integer number (40196952900).

Almost surely, 2^{7264944000720} is an apocalyptic number.

7264944000720 is a gapful number since it is divisible by the number (70) 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 7264944000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470903044000).

7264944000720 is an abundant number, since it is smaller than the sum of its proper divisors (21676862087280).

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

7264944000720 is a wasteful number, since it uses less digits than its factorization.

7264944000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 7264944000720 in words is "seven trillion, two hundred sixty-four billion, nine hundred forty-four million, seven hundred twenty", and thus it is an aban number.