726216795262200 has 384 divisors, whose sum is σ = 2459223613900800. Its totient is φ = 175816802304000.

The previous prime is 726216795262199. The next prime is 726216795262223. The reversal of 726216795262200 is 2262597612627.

It is a super-4 number, since 4×726216795262200⁴ (a number of 61 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 21773640724 + ... + 21773674076.

It is an arithmetic number, because the mean of its divisors is an integer number (6404228161200).

Almost surely, 2^{726216795262200} 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 726216795262200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229611806950400).

726216795262200 is an abundant number, since it is smaller than the sum of its proper divisors (1733006818638600).

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

726216795262200 is a wasteful number, since it uses less digits than its factorization.

726216795262200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37703 (or 37694 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 726216795262200 in words is "seven hundred twenty-six trillion, two hundred sixteen billion, seven hundred ninety-five million, two hundred sixty-two thousand, two hundred".