663272064 has 640 divisors, whose sum is σ = 2626377600. Its totient is φ = 161243136.

The previous prime is 663272009. The next prime is 663272107. The reversal of 663272064 is 460272366.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17926254 + ... + 17926290.

It is an arithmetic number, because the mean of its divisors is an integer number (4103715).

Almost surely, 2^663272064 is an apocalyptic number.

663272064 is a gapful number since it is divisible by the number (64) 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 663272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313188800).

663272064 is an abundant number, since it is smaller than the sum of its proper divisors (1963105536).

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

663272064 is a wasteful number, since it uses less digits than its factorization.

663272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 663272064 is about 25754.0688824116. The cubic root of 663272064 is about 872.0952116669.

The spelling of 663272064 in words is "six hundred sixty-three million, two hundred seventy-two thousand, sixty-four".