1503695664 has 120 divisors (see below), whose sum is σ = 4471036752. Its totient is φ = 488954880.

The previous prime is 1503695659. The next prime is 1503695671. The reversal of 1503695664 is 4665963051.

1503695664 is a `hidden beast` number, since 1 + 50 + 36 + 9 + 566 + 4 = 666.

It is a super-2 number, since 2×1503695664² = 4522201299864801792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154692 + ... + 164124.

Almost surely, 2^1503695664 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 1503695664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235518376).

1503695664 is an abundant number, since it is smaller than the sum of its proper divisors (2967341088).

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

1503695664 is an equidigital number, since it uses as much as digits as its factorization.

1503695664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1503695664 is about 38777.5149281127. The cubic root of 1503695664 is about 1145.6535780303.

The spelling of 1503695664 in words is "one billion, five hundred three million, six hundred ninety-five thousand, six hundred sixty-four".