1604744064 has 384 divisors, whose sum is σ = 5855616000. Its totient is φ = 409743360.

The previous prime is 1604744027. The next prime is 1604744069. The reversal of 1604744064 is 4604474061.

1604744064 is a `hidden beast` number, since 1 + 604 + 7 + 4 + 40 + 6 + 4 = 666.

1604744064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1604744064³ (a number of 29 digits) contains 333 as substring.

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 (1604744069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7007502 + ... + 7007730.

It is an arithmetic number, because the mean of its divisors is an integer number (15249000).

Almost surely, 2^1604744064 is an apocalyptic number.

1604744064 is a gapful number since it is divisible by the number (14) 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 1604744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927808000).

1604744064 is an abundant number, since it is smaller than the sum of its proper divisors (4250871936).

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

1604744064 is a wasteful number, since it uses less digits than its factorization.

1604744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1604744064 is about 40059.2569077361. The cubic root of 1604744064 is about 1170.7619319311.

The spelling of 1604744064 in words is "one billion, six hundred four million, seven hundred forty-four thousand, sixty-four".