720249068448 has 576 divisors, whose sum is σ = 2675146586112. Its totient is φ = 185530383360.

The previous prime is 720249068423. The next prime is 720249068459. The reversal of 720249068448 is 844860942027.

720249068448 is a `hidden beast` number, since 72 + 0 + 2 + 490 + 6 + 84 + 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 = 720249068394 and 720249068403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30415653 + ... + 30439323.

It is an arithmetic number, because the mean of its divisors is an integer number (4644351712).

Almost surely, 2^720249068448 is an apocalyptic number.

720249068448 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 720249068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337573293056).

720249068448 is an abundant number, since it is smaller than the sum of its proper divisors (1954897517664).

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

720249068448 is a wasteful number, since it uses less digits than its factorization.

720249068448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23759 (or 23739 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 720249068448 in words is "seven hundred twenty billion, two hundred forty-nine million, sixty-eight thousand, four hundred forty-eight".