764544000000 has 784 divisors, whose sum is σ = 2795313594528. Its totient is φ = 184320000000.

The previous prime is 764543999977. The next prime is 764544000001. The reversal of 764544000000 is 445467.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (764544000001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 4223999910 + ... + 4224000090.

Almost surely, 2^764544000000 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 764544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397656797264).

764544000000 is an abundant number, since it is smaller than the sum of its proper divisors (2030769594528).

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

764544000000 is an frugal number, since it uses more digits than its factorization.

764544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 764544000000 its reverse (445467), we get a palindrome (764544445467).

The spelling of 764544000000 in words is "seven hundred sixty-four billion, five hundred forty-four million", and thus it is an aban number.