664292284704 has 192 divisors, whose sum is σ = 2033875630080. Its totient is φ = 210534001920.

The previous prime is 664292284619. The next prime is 664292284709. The reversal of 664292284704 is 407482292466.

It is a happy number.

664292284704 is a `hidden beast` number, since 6 + 6 + 4 + 292 + 284 + 70 + 4 = 666.

664292284704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (664292284709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3218539 + ... + 3418709.

It is an arithmetic number, because the mean of its divisors is an integer number (10593102240).

Almost surely, 2^664292284704 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 664292284704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016937815040).

664292284704 is an abundant number, since it is smaller than the sum of its proper divisors (1369583345376).

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

664292284704 is a wasteful number, since it uses less digits than its factorization.

664292284704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200380 (or 200366 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 664292284704 in words is "six hundred sixty-four billion, two hundred ninety-two million, two hundred eighty-four thousand, seven hundred four".