664879767552 has 1890 divisors, whose sum is σ = 2750150037789. Its totient is φ = 159411732480.

The previous prime is 664879767527. The next prime is 664879767553. The reversal of 664879767552 is 255767978466.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

664879767552 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 7 + 9 + 7 + 67 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 568491872256 + 96387895296 = 753984^2 + 310464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=576576.

It is a super-3 number, since 3×664879767552³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1066867200) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (664879767553) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51144597498 + ... + 51144597510.

Almost surely, 2^664879767552 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 664879767552

664879767552 is an abundant number, since it is smaller than the sum of its proper divisors (2085270270237).

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

664879767552 is a wasteful number, since it uses less digits than its factorization.

664879767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its digits is 1066867200, while the sum is 72.

Multiplying 664879767552 by its sum of digits (72), we get a square (47871343263744 = 6918912²).

664879767552 divided by its sum of digits (72) gives a square (9234441216 = 96096²).

The spelling of 664879767552 in words is "six hundred sixty-four billion, eight hundred seventy-nine million, seven hundred sixty-seven thousand, five hundred fifty-two".