722712399349248 has 4800 divisors, whose sum is σ = 3015520244352000. Its totient is φ = 168194267873280.

The previous prime is 722712399349189. The next prime is 722712399349301. The reversal of 722712399349248 is 842943993217227.

722712399349248 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 1 + 2 + 3 + 9 + 93 + 492 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8120364037588 + ... + 8120364037676.

It is an arithmetic number, because the mean of its divisors is an integer number (628233384240).

Almost surely, 2^{722712399349248} 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 722712399349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507760122176000).

722712399349248 is an abundant number, since it is smaller than the sum of its proper divisors (2292807845002752).

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

722712399349248 is an equidigital number, since it uses as much as digits as its factorization.

722712399349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 154 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 722712399349248 in words is "seven hundred twenty-two trillion, seven hundred twelve billion, three hundred ninety-nine million, three hundred forty-nine thousand, two hundred forty-eight".