721514407680 has 720 divisors, whose sum is σ = 2824687404000. Its totient is φ = 174399160320.

The previous prime is 721514407667. The next prime is 721514407729. The reversal of 721514407680 is 86704415127.

721514407680 is a `hidden beast` number, since 7 + 21 + 514 + 40 + 76 + 8 + 0 = 666.

721514407680 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 512074816 + ... + 512076224.

It is an arithmetic number, because the mean of its divisors is an integer number (3923176950).

Almost surely, 2^721514407680 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 721514407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412343702000).

721514407680 is an abundant number, since it is smaller than the sum of its proper divisors (2103172996320).

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

721514407680 is a wasteful number, since it uses less digits than its factorization.

721514407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 721514407680 in words is "seven hundred twenty-one billion, five hundred fourteen million, four hundred seven thousand, six hundred eighty".