662624064 has 168 divisors, whose sum is σ = 1990392768. Its totient is φ = 218557440.

The previous prime is 662624063. The next prime is 662624071. The reversal of 662624064 is 460426266.

662624064 is a `hidden beast` number, since 6 + 626 + 24 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (662624063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130469 + ... + 2130779.

It is an arithmetic number, because the mean of its divisors is an integer number (11847576).

Almost surely, 2^662624064 is an apocalyptic number.

662624064 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 662624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995196384).

662624064 is an abundant number, since it is smaller than the sum of its proper divisors (1327768704).

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

662624064 is a wasteful number, since it uses less digits than its factorization.

662624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 662624064 is about 25741.4852718331. The cubic root of 662624064 is about 871.8111141535.

The spelling of 662624064 in words is "six hundred sixty-two million, six hundred twenty-four thousand, sixty-four".