720199200306816 has 1536 divisors, whose sum is σ = 2316202656768000. Its totient is φ = 222259808010240.

The previous prime is 720199200306811. The next prime is 720199200306823. The reversal of 720199200306816 is 618603002991027.

720199200306816 is a `hidden beast` number, since 72 + 0 + 199 + 2 + 0 + 0 + 306 + 81 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (720199200306811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658919670366 + ... + 658919671458.

It is an arithmetic number, because the mean of its divisors is an integer number (1507944438000).

Almost surely, 2^{720199200306816} 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 720199200306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158101328384000).

720199200306816 is an abundant number, since it is smaller than the sum of its proper divisors (1596003456461184).

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

720199200306816 is a wasteful number, since it uses less digits than its factorization.

720199200306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 720199200306816 in words is "seven hundred twenty trillion, one hundred ninety-nine billion, two hundred million, three hundred six thousand, eight hundred sixteen".