785573720064 has 468 divisors, whose sum is σ = 2724976637760. Its totient is φ = 217193840640.

The previous prime is 785573720039. The next prime is 785573720069. The reversal of 785573720064 is 460027375587.

It is a happy number.

785573720064 is a `hidden beast` number, since 7 + 8 + 5 + 573 + 7 + 2 + 0 + 0 + 64 = 666.

785573720064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (785573720069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55989402 + ... + 56003430.

Almost surely, 2^785573720064 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 785573720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362488318880).

785573720064 is an abundant number, since it is smaller than the sum of its proper divisors (1939402917696).

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

785573720064 is a wasteful number, since it uses less digits than its factorization.

785573720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 785573720064 in words is "seven hundred eighty-five billion, five hundred seventy-three million, seven hundred twenty thousand, sixty-four".