664135416 has 192 divisors, whose sum is σ = 2166912000. Its totient is φ = 187911360.

The previous prime is 664135399. The next prime is 664135441. The reversal of 664135416 is 614531466.

It is a happy number.

664135416 is a `hidden beast` number, since 6 + 641 + 3 + 5 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1386265 + ... + 1386743.

It is an arithmetic number, because the mean of its divisors is an integer number (11286000).

Almost surely, 2^664135416 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 664135416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083456000).

664135416 is an abundant number, since it is smaller than the sum of its proper divisors (1502776584).

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

664135416 is a wasteful number, since it uses less digits than its factorization.

664135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 622 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 664135416 is about 25770.8248994866. The cubic root of 664135416 is about 872.4734369025.

The spelling of 664135416 in words is "six hundred sixty-four million, one hundred thirty-five thousand, four hundred sixteen".