721064962800 has 720 divisors, whose sum is σ = 3092866224448. Its totient is φ = 151488921600.

The previous prime is 721064962729. The next prime is 721064962801. The reversal of 721064962800 is 8269460127.

It is a happy number.

721064962800 is a `hidden beast` number, since 7 + 2 + 10 + 6 + 4 + 9 + 628 + 0 + 0 = 666.

721064962800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721064962801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78947034 + ... + 78956166.

Almost surely, 2^721064962800 is an apocalyptic number.

721064962800 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 721064962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546433112224).

721064962800 is an abundant number, since it is smaller than the sum of its proper divisors (2371801261648).

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

721064962800 is a wasteful number, since it uses less digits than its factorization.

721064962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 721064962800 in words is "seven hundred twenty-one billion, sixty-four million, nine hundred sixty-two thousand, eight hundred".