1536495264 has 96 divisors (see below), whose sum is σ = 4585775040. Its totient is φ = 500242176.

The previous prime is 1536495251. The next prime is 1536495293. The reversal of 1536495264 is 4625946351.

1536495264 is a `hidden beast` number, since 1 + 536 + 4 + 9 + 52 + 64 = 666.

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

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, 16474 + ... + 57830.

It is an arithmetic number, because the mean of its divisors is an integer number (47768490).

Almost surely, 2^1536495264 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 1536495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292887520).

1536495264 is an abundant number, since it is smaller than the sum of its proper divisors (3049279776).

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

1536495264 is a wasteful number, since it uses less digits than its factorization.

1536495264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41419 (or 41405 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1536495264 is about 39198.1538340774. The cubic root of 1536495264 is about 1153.9236523454.

The spelling of 1536495264 in words is "one billion, five hundred thirty-six million, four hundred ninety-five thousand, two hundred sixty-four".