664511040 has 280 divisors, whose sum is σ = 2442984192. Its totient is φ = 171279360.

The previous prime is 664511039. The next prime is 664511047. The reversal of 664511040 is 40115466.

664511040 is a `hidden beast` number, since 6 + 645 + 1 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 664510995 and 664511013.

It is not an unprimeable number, because it can be changed into a prime (664511047) 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 39 ways as a sum of consecutive naturals, for example, 803107 + ... + 803933.

Almost surely, 2^664511040 is an apocalyptic number.

664511040 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 664511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221492096).

664511040 is an abundant number, since it is smaller than the sum of its proper divisors (1778473152).

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

664511040 is a wasteful number, since it uses less digits than its factorization.

664511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 664511040 is about 25778.1116453475. Note that the first 3 decimals coincide. The cubic root of 664511040 is about 872.6378914144.

The spelling of 664511040 in words is "six hundred sixty-four million, five hundred eleven thousand, forty".