5732617590 has 256 divisors, whose sum is σ = 17978112000. Its totient is φ = 1272844800.

The previous prime is 5732617571. The next prime is 5732617591. The reversal of 5732617590 is 957162375.

5732617590 is a `hidden beast` number, since 57 + 3 + 2 + 6 + 1 + 7 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5732617591) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11262256 + ... + 11262764.

It is an arithmetic number, because the mean of its divisors is an integer number (70227000).

Almost surely, 2^5732617590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5732617590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989056000).

5732617590 is an abundant number, since it is smaller than the sum of its proper divisors (12245494410).

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

5732617590 is a wasteful number, since it uses less digits than its factorization.

5732617590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5732617590 is about 75714.0514699881. The cubic root of 5732617590 is about 1789.7168377445.

The spelling of 5732617590 in words is "five billion, seven hundred thirty-two million, six hundred seventeen thousand, five hundred ninety".