720755642880 has 2560 divisors, whose sum is σ = 3427380633600. Its totient is φ = 139314069504.

The previous prime is 720755642857. The next prime is 720755642881. The reversal of 720755642880 is 88246557027.

720755642880 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 556 + 4 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is not an unprimeable number, because it can be changed into a prime (720755642881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4421813679 + ... + 4421813841.

It is an arithmetic number, because the mean of its divisors is an integer number (1338820560).

Almost surely, 2^720755642880 is an apocalyptic number.

720755642880 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 720755642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713690316800).

720755642880 is an abundant number, since it is smaller than the sum of its proper divisors (2706624990720).

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

720755642880 is a wasteful number, since it uses less digits than its factorization.

720755642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 720755642880 in words is "seven hundred twenty billion, seven hundred fifty-five million, six hundred forty-two thousand, eight hundred eighty".