5449829760 has 384 divisors, whose sum is σ = 20285890560. Its totient is φ = 1344245760.

The previous prime is 5449829753. The next prime is 5449829771. The reversal of 5449829760 is 679289445.

5449829760 is a `hidden beast` number, since 5 + 4 + 498 + 2 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5449829697 and 5449829706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106217 + ... + 4107543.

It is an arithmetic number, because the mean of its divisors is an integer number (52827840).

Almost surely, 2^5449829760 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 5449829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142945280).

5449829760 is an abundant number, since it is smaller than the sum of its proper divisors (14836060800).

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

5449829760 is a wasteful number, since it uses less digits than its factorization.

5449829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5449829760 is about 73822.9622813932. The cubic root of 5449829760 is about 1759.7905398111.

The spelling of 5449829760 in words is "five billion, four hundred forty-nine million, eight hundred twenty-nine thousand, seven hundred sixty".