1515863664 has 240 divisors, whose sum is σ = 5001197760. Its totient is φ = 419696640.

The previous prime is 1515863663. The next prime is 1515863683. The reversal of 1515863664 is 4663685151.

1515863664 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 8 + 636 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1515863663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5472294 + ... + 5472570.

It is an arithmetic number, because the mean of its divisors is an integer number (20838324).

Almost surely, 2^1515863664 is an apocalyptic number.

1515863664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1515863664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500598880).

1515863664 is an abundant number, since it is smaller than the sum of its proper divisors (3485334096).

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

1515863664 is a wasteful number, since it uses less digits than its factorization.

1515863664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

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

The square root of 1515863664 is about 38934.0938510196. The cubic root of 1515863664 is about 1148.7355134787.

The spelling of 1515863664 in words is "one billion, five hundred fifteen million, eight hundred sixty-three thousand, six hundred sixty-four".