5946533760 has 128 divisors (see below), whose sum is σ = 19265686560. Its totient is φ = 1559715840.

The previous prime is 5946533753. The next prime is 5946533767. The reversal of 5946533760 is 673356495.

It is an interprime number because it is at equal distance from previous prime (5946533753) and next prime (5946533767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5946533760² = 70722527517639475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5946533767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91734 + ... + 142506.

Almost surely, 2^5946533760 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 5946533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632843280).

5946533760 is an abundant number, since it is smaller than the sum of its proper divisors (13319152800).

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

5946533760 is a wasteful number, since it uses less digits than its factorization.

5946533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50856 (or 50844 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The square root of 5946533760 is about 77113.7715327165. The cubic root of 5946533760 is about 1811.7070025111.

The spelling of 5946533760 in words is "five billion, nine hundred forty-six million, five hundred thirty-three thousand, seven hundred sixty".