6499584400 has 135 divisors (see below), whose sum is σ = 16289460291. Its totient is φ = 2492125440.

The previous prime is 6499584359. The next prime is 6499584451. The reversal of 6499584400 is 44859946.

The square root of 6499584400 is 80620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 89340304 + 6410244096 = 9452^2 + 80064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46759531 + ... + 46759669.

Almost surely, 2^6499584400 is an apocalyptic number.

6499584400 is the 80620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6499584400

6499584400 is an abundant number, since it is smaller than the sum of its proper divisors (9789875891).

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

6499584400 is a wasteful number, since it uses less digits than its factorization.

6499584400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The cubic root of 6499584400 is about 1866.2158023907.

Multiplying 6499584400 by its sum of digits (49), we get a square (318479635600 = 564340²).

The spelling of 6499584400 in words is "six billion, four hundred ninety-nine million, five hundred eighty-four thousand, four hundred".