6479054400 has 756 divisors, whose sum is σ = 26939851632. Its totient is φ = 1358622720.

The previous prime is 6479054389. The next prime is 6479054429. The reversal of 6479054400 is 44509746.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39748719 + ... + 39748881.

Almost surely, 2^6479054400 is an apocalyptic number.

6479054400 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 6479054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469925816).

6479054400 is an abundant number, since it is smaller than the sum of its proper divisors (20460797232).

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

6479054400 is a wasteful number, since it uses less digits than its factorization.

6479054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6479054400 is about 80492.5735704854. The cubic root of 6479054400 is about 1864.2488140048.

The spelling of 6479054400 in words is "six billion, four hundred seventy-nine million, fifty-four thousand, four hundred".