723662647680 has 1024 divisors, whose sum is σ = 2904543774720. Its totient is φ = 149484994560.

The previous prime is 723662647619. The next prime is 723662647681. The reversal of 723662647680 is 86746266327.

It is a self number, because there is not a number n which added to its sum of digits gives 723662647680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723662647681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 627633984 + ... + 627635136.

It is an arithmetic number, because the mean of its divisors is an integer number (2836468530).

Almost surely, 2^723662647680 is an apocalyptic number.

723662647680 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 723662647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452271887360).

723662647680 is an abundant number, since it is smaller than the sum of its proper divisors (2180881127040).

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

723662647680 is a wasteful number, since it uses less digits than its factorization.

723662647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 723662647680 in words is "seven hundred twenty-three billion, six hundred sixty-two million, six hundred forty-seven thousand, six hundred eighty".