6461829348 has 72 divisors (see below), whose sum is σ = 16778490624. Its totient is φ = 1924073280.

The previous prime is 6461829287. The next prime is 6461829349. The reversal of 6461829348 is 8439281646.

It is a self number, because there is not a number n which added to its sum of digits gives 6461829348.

It is not an unprimeable number, because it can be changed into a prime (6461829349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128365 + ... + 171467.

It is an arithmetic number, because the mean of its divisors is an integer number (233034592).

Almost surely, 2^6461829348 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 6461829348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389245312).

6461829348 is an abundant number, since it is smaller than the sum of its proper divisors (10316661276).

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

6461829348 is a wasteful number, since it uses less digits than its factorization.

6461829348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43185 (or 43152 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 6461829348 is about 80385.5045888250. The cubic root of 6461829348 is about 1862.5952660188.

The spelling of 6461829348 in words is "six billion, four hundred sixty-one million, eight hundred twenty-nine thousand, three hundred forty-eight".