764040706560 has 480 divisors, whose sum is σ = 2688738624000. Its totient is φ = 200483340288.

The previous prime is 764040706531. The next prime is 764040706601. The reversal of 764040706560 is 65607040467.

It is a happy number.

764040706560 is a `hidden beast` number, since 7 + 6 + 40 + 40 + 7 + 0 + 6 + 560 = 666.

764040706560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490083061 + ... + 490084619.

It is an arithmetic number, because the mean of its divisors is an integer number (5601538800).

Almost surely, 2^764040706560 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 764040706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344369312000).

764040706560 is an abundant number, since it is smaller than the sum of its proper divisors (1924697917440).

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

764040706560 is a wasteful number, since it uses less digits than its factorization.

764040706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1897 counting only the distinct ones).

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

The spelling of 764040706560 in words is "seven hundred sixty-four billion, forty million, seven hundred six thousand, five hundred sixty".