1655057664 has 288 divisors, whose sum is σ = 5350047360. Its totient is φ = 501645312.

The previous prime is 1655057629. The next prime is 1655057687. The reversal of 1655057664 is 4667505561.

1655057664 is a `hidden beast` number, since 16 + 5 + 5 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10153647 + ... + 10153809.

Almost surely, 2^1655057664 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 1655057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675023680).

1655057664 is an abundant number, since it is smaller than the sum of its proper divisors (3694989696).

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

1655057664 is a wasteful number, since it uses less digits than its factorization.

1655057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 1655057664 is about 40682.3999292077. The cubic root of 1655057664 is about 1182.8718862747.

The spelling of 1655057664 in words is "one billion, six hundred fifty-five million, fifty-seven thousand, six hundred sixty-four".