6460129200 has 480 divisors, whose sum is σ = 26370455040. Its totient is φ = 1316044800.

The previous prime is 6460129187. The next prime is 6460129229. The reversal of 6460129200 is 29210646.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2712010 + ... + 2714390.

It is an arithmetic number, because the mean of its divisors is an integer number (54938448).

Almost surely, 2^6460129200 is an apocalyptic number.

6460129200 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 6460129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185227520).

6460129200 is an abundant number, since it is smaller than the sum of its proper divisors (19910325840).

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

6460129200 is a wasteful number, since it uses less digits than its factorization.

6460129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6460129200 is about 80374.9289268737. The cubic root of 6460129200 is about 1862.4318981750.

Adding to 6460129200 its reverse (29210646), we get a palindrome (6489339846).

The spelling of 6460129200 in words is "six billion, four hundred sixty million, one hundred twenty-nine thousand, two hundred".