720525601006848 has 2880 divisors, whose sum is σ = 2913050927001600. Its totient is φ = 171691691212800.

The previous prime is 720525601006847. The next prime is 720525601006859. The reversal of 720525601006848 is 848600106525027.

720525601006848 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 2 + 560 + 10 + 0 + 68 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 720525601006794 and 720525601006803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720525601006847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 330668012223 + ... + 330668014401.

It is an arithmetic number, because the mean of its divisors is an integer number (1011476016320).

Almost surely, 2^{720525601006848} is an apocalyptic number.

720525601006848 is a gapful number since it is divisible by the number (78) 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 720525601006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456525463500800).

720525601006848 is an abundant number, since it is smaller than the sum of its proper divisors (2192525325994752).

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

720525601006848 is a wasteful number, since it uses less digits than its factorization.

720525601006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 720525601006848 in words is "seven hundred twenty trillion, five hundred twenty-five billion, six hundred one million, six thousand, eight hundred forty-eight".