724286961216 has 840 divisors, whose sum is σ = 2688875861760. Its totient is φ = 188732104704.

The previous prime is 724286961191. The next prime is 724286961283. The reversal of 724286961216 is 612169682427.

724286961216 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 8 + 6 + 9 + 612 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 545807145 + ... + 545808471.

Almost surely, 2^724286961216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724286961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344437930880).

724286961216 is an abundant number, since it is smaller than the sum of its proper divisors (1964588900544).

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

724286961216 is a wasteful number, since it uses less digits than its factorization.

724286961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1441 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 724286961216 in words is "seven hundred twenty-four billion, two hundred eighty-six million, nine hundred sixty-one thousand, two hundred sixteen".