764205273216 has 1024 divisors, whose sum is σ = 2902348800000. Its totient is φ = 196222279680.

The previous prime is 764205273203. The next prime is 764205273229. The reversal of 764205273216 is 612372502467.

764205273216 is a `hidden beast` number, since 7 + 6 + 420 + 5 + 2 + 7 + 3 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (764205273203) and next prime (764205273229).

It is a super-2 number, since 2×764205273216² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1343066980 + ... + 1343067548.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325000).

Almost surely, 2^764205273216 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 764205273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451174400000).

764205273216 is an abundant number, since it is smaller than the sum of its proper divisors (2138143526784).

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

764205273216 is a wasteful number, since it uses less digits than its factorization.

764205273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 764205273216 in words is "seven hundred sixty-four billion, two hundred five million, two hundred seventy-three thousand, two hundred sixteen".