764744448000 has 384 divisors, whose sum is σ = 2740210724160. Its totient is φ = 188242329600.

The previous prime is 764744447963. The next prime is 764744448001. The reversal of 764744448000 is 844447467.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764744448001) 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 31 ways as a sum of consecutive naturals, for example, 9945702 + ... + 10022298.

Almost surely, 2^764744448000 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 764744448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370105362080).

764744448000 is an abundant number, since it is smaller than the sum of its proper divisors (1975466276160).

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

764744448000 is a wasteful number, since it uses less digits than its factorization.

764744448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76650 (or 76620 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 764744448000 in words is "seven hundred sixty-four billion, seven hundred forty-four million, four hundred forty-eight thousand".