1535501664 has 96 divisors (see below), whose sum is σ = 4541806080. Its totient is φ = 504604800.

The previous prime is 1535501647. The next prime is 1535501677. The reversal of 1535501664 is 4661055351.

1535501664 is a `hidden beast` number, since 1 + 535 + 50 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 48829 + ... + 73859.

It is an arithmetic number, because the mean of its divisors is an integer number (47310480).

Almost surely, 2^1535501664 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 1535501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270903040).

1535501664 is an abundant number, since it is smaller than the sum of its proper divisors (3006304416).

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

1535501664 is a wasteful number, since it uses less digits than its factorization.

1535501664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25121 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1535501664 is about 39185.4777181547. The cubic root of 1535501664 is about 1153.6748641239.

The spelling of 1535501664 in words is "one billion, five hundred thirty-five million, five hundred one thousand, six hundred sixty-four".