721765712160 has 1152 divisors, whose sum is σ = 2761808265216. Its totient is φ = 171049697280.

The previous prime is 721765712147. The next prime is 721765712189. The reversal of 721765712160 is 61217567127.

721765712160 is a `hidden beast` number, since 7 + 2 + 1 + 76 + 571 + 2 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2744356189 + ... + 2744356451.

It is an arithmetic number, because the mean of its divisors is an integer number (2397403008).

Almost surely, 2^721765712160 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 721765712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380904132608).

721765712160 is an abundant number, since it is smaller than the sum of its proper divisors (2040042553056).

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

721765712160 is a wasteful number, since it uses less digits than its factorization.

721765712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 721765712160 in words is "seven hundred twenty-one billion, seven hundred sixty-five million, seven hundred twelve thousand, one hundred sixty".