6461882401 has 8 divisors (see below), whose sum is σ = 7054279400. Its totient is φ = 5883103872.

The previous prime is 6461882369. The next prime is 6461882417. The reversal of 6461882401 is 1042881646.

It can be written as a sum of positive squares in 4 ways, for example, as 37699600 + 6424182801 = 6140^2 + 80151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6461882401 - 2⁵ = 6461882369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6461882101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3403626 + ... + 3405523.

It is an arithmetic number, because the mean of its divisors is an integer number (881784925).

Almost surely, 2^6461882401 is an apocalyptic number.

It is an amenable number.

6461882401 is a deficient number, since it is larger than the sum of its proper divisors (592396999).

6461882401 is a wasteful number, since it uses less digits than its factorization.

6461882401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809235.

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 6461882401 is about 80385.8345792342. The cubic root of 6461882401 is about 1862.6003634399.

The spelling of 6461882401 in words is "six billion, four hundred sixty-one million, eight hundred eighty-two thousand, four hundred one".