720856765440 has 1320 divisors, whose sum is σ = 3164726521440. Its totient is φ = 156011692032.

The previous prime is 720856765367. The next prime is 720856765451. The reversal of 720856765440 is 44567658027.

It is a happy number.

720856765440 is a `hidden beast` number, since 7 + 2 + 0 + 85 + 67 + 65 + 440 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 386103387 + ... + 386105253.

It is an arithmetic number, because the mean of its divisors is an integer number (2397520092).

Almost surely, 2^720856765440 is an apocalyptic number.

720856765440 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 720856765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582363260720).

720856765440 is an abundant number, since it is smaller than the sum of its proper divisors (2443869756000).

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

720856765440 is a wasteful number, since it uses less digits than its factorization.

720856765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 720856765440 in words is "seven hundred twenty billion, eight hundred fifty-six million, seven hundred sixty-five thousand, four hundred forty".