764996347116288 has 864 divisors, whose sum is σ = 2684639597875200. Its totient is φ = 214186218430464.

The previous prime is 764996347116283. The next prime is 764996347116307. The reversal of 764996347116288 is 882611743699467.

764996347116288 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 9 + 6 + 3 + 471 + 1 + 62 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×764996347116288² (a number of 31 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (764996347116283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6334421281 + ... + 6334542047.

It is an arithmetic number, because the mean of its divisors is an integer number (3107221756800).

Almost surely, 2^{764996347116288} 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 764996347116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342319798937600).

764996347116288 is an abundant number, since it is smaller than the sum of its proper divisors (1919643250758912).

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

764996347116288 is a wasteful number, since it uses less digits than its factorization.

764996347116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121182 (or 121155 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 764996347116288 in words is "seven hundred sixty-four trillion, nine hundred ninety-six billion, three hundred forty-seven million, one hundred sixteen thousand, two hundred eighty-eight".