1794557664 has 72 divisors (see below), whose sum is σ = 5122327392. Its totient is φ = 595952640.

The previous prime is 1794557647. The next prime is 1794557707. The reversal of 1794557664 is 4667554971.

1794557664 is a `hidden beast` number, since 1 + 7 + 9 + 4 + 5 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1794557664² = 6440874418842273792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1794557664.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66552 + ... + 89544.

It is an arithmetic number, because the mean of its divisors is an integer number (71143436).

Almost surely, 2^1794557664 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 1794557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561163696).

1794557664 is an abundant number, since it is smaller than the sum of its proper divisors (3327769728).

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

1794557664 is a wasteful number, since it uses less digits than its factorization.

1794557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23280 (or 23269 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 1794557664 is about 42362.2197718675. The cubic root of 1794557664 is about 1215.2131841542.

The spelling of 1794557664 in words is "one billion, seven hundred ninety-four million, five hundred fifty-seven thousand, six hundred sixty-four".