5949365760 has 400 divisors, whose sum is σ = 22958280576. Its totient is φ = 1463795712.

The previous prime is 5949365729. The next prime is 5949365819. The reversal of 5949365760 is 675639495.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5949365697 and 5949365706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2694577 + ... + 2696783.

Almost surely, 2^5949365760 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 5949365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479140288).

5949365760 is an abundant number, since it is smaller than the sum of its proper divisors (17008914816).

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

5949365760 is a wasteful number, since it uses less digits than its factorization.

5949365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5949365760 is about 77132.1318258480. The cubic root of 5949365760 is about 1811.9945616257.

The spelling of 5949365760 in words is "five billion, nine hundred forty-nine million, three hundred sixty-five thousand, seven hundred sixty".