1535681664 has 288 divisors, whose sum is σ = 5079110400. Its totient is φ = 444195840.

The previous prime is 1535681663. The next prime is 1535681683. The reversal of 1535681664 is 4661865351.

1535681664 is a `hidden beast` number, since 15 + 3 + 568 + 16 + 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 not an unprimeable number, because it can be changed into a prime (1535681663) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3205777 + ... + 3206255.

It is an arithmetic number, because the mean of its divisors is an integer number (17635800).

Almost surely, 2^1535681664 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 1535681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539555200).

1535681664 is an abundant number, since it is smaller than the sum of its proper divisors (3543428736).

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

1535681664 is a wasteful number, since it uses less digits than its factorization.

1535681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1535681664 is about 39187.7744200918. The cubic root of 1535681664 is about 1153.7199424125.

It can be divided in two parts, 15356 and 81664, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1535681664 in words is "one billion, five hundred thirty-five million, six hundred eighty-one thousand, six hundred sixty-four".