6461406000 has 480 divisors, whose sum is σ = 27158976000. Its totient is φ = 1398643200.

The previous prime is 6461405989. The next prime is 6461406047. The reversal of 6461406000 is 6041646.

6461406000 is a `hidden beast` number, since 6 + 46 + 14 + 0 + 600 + 0 = 666.

It is a super-3 number, since 3×6461406000³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2392651 + ... + 2395349.

It is an arithmetic number, because the mean of its divisors is an integer number (56581200).

Almost surely, 2^6461406000 is an apocalyptic number.

6461406000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488000).

6461406000 is an abundant number, since it is smaller than the sum of its proper divisors (20697570000).

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

6461406000 is a wasteful number, since it uses less digits than its factorization.

6461406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6461406000 is about 80382.8713097511. The cubic root of 6461406000 is about 1862.5545890341.

Adding to 6461406000 its reverse (6041646), we get a palindrome (6467447646).

The spelling of 6461406000 in words is "six billion, four hundred sixty-one million, four hundred six thousand".