720332252640 has 1536 divisors, whose sum is σ = 3409829498880. Its totient is φ = 137156198400.

The previous prime is 720332252623. The next prime is 720332252659. The reversal of 720332252640 is 46252233027.

720332252640 is a `hidden beast` number, since 7 + 2 + 0 + 3 + 3 + 2 + 2 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 720332252595 and 720332252604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 678917710 + ... + 678918770.

It is an arithmetic number, because the mean of its divisors is an integer number (2219941080).

Almost surely, 2^720332252640 is an apocalyptic number.

720332252640 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 720332252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704914749440).

720332252640 is an abundant number, since it is smaller than the sum of its proper divisors (2689497246240).

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

720332252640 is a wasteful number, since it uses less digits than its factorization.

720332252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 720332252640 its reverse (46252233027), we get a palindrome (766584485667).

The spelling of 720332252640 in words is "seven hundred twenty billion, three hundred thirty-two million, two hundred fifty-two thousand, six hundred forty".