6479334400 has 528 divisors, whose sum is σ = 21199714560. Its totient is φ = 1902182400.

The previous prime is 6479334313. The next prime is 6479334431. The reversal of 6479334400 is 44339746.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37452714 + ... + 37452886.

Almost surely, 2^6479334400 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 6479334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10599857280).

6479334400 is an abundant number, since it is smaller than the sum of its proper divisors (14720380160).

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

6479334400 is a wasteful number, since it uses less digits than its factorization.

6479334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 6479334400 is about 80494.3128425853. The cubic root of 6479334400 is about 1864.2756688571.

The spelling of 6479334400 in words is "six billion, four hundred seventy-nine million, three hundred thirty-four thousand, four hundred".