664292214720 has 896 divisors, whose sum is σ = 2486933913600. Its totient is φ = 166692556800.

The previous prime is 664292214613. The next prime is 664292214721. The reversal of 664292214720 is 27412292466.

664292214720 is a `hidden beast` number, since 6 + 6 + 429 + 2 + 214 + 7 + 2 + 0 = 666.

664292214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664292214721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2006924955 + ... + 2006925285.

Almost surely, 2^664292214720 is an apocalyptic number.

664292214720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664292214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243466956800).

664292214720 is an abundant number, since it is smaller than the sum of its proper divisors (1822641698880).

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

664292214720 is a wasteful number, since it uses less digits than its factorization.

664292214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 664292214720 in words is "six hundred sixty-four billion, two hundred ninety-two million, two hundred fourteen thousand, seven hundred twenty".