720984616531200 has 1728 divisors, whose sum is σ = 3283083291443200. Its totient is φ = 151086610022400.

The previous prime is 720984616531043. The next prime is 720984616531217. The reversal of 720984616531200 is 2135616489027.

It is a happy number.

720984616531200 is a `hidden beast` number, since 7 + 2 + 0 + 9 + 8 + 4 + 616 + 5 + 3 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 711948414 + ... + 712960386.

It is a 1-persistent number, because it is pandigital, but 2⋅720984616531200 = 1441969233062400 is not.

Almost surely, 2^{720984616531200} is an apocalyptic number.

720984616531200 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 720984616531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641541645721600).

720984616531200 is an abundant number, since it is smaller than the sum of its proper divisors (2562098674912000).

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

720984616531200 is a wasteful number, since it uses less digits than its factorization.

720984616531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012065 (or 1012040 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 720984616531200 in words is "seven hundred twenty trillion, nine hundred eighty-four billion, six hundred sixteen million, five hundred thirty-one thousand, two hundred".