6049728400 has 45 divisors (see below), whose sum is σ = 14538210771. Its totient is φ = 2419269120.

The previous prime is 6049728361. The next prime is 6049728413. The reversal of 6049728400 is 48279406.

The square root of 6049728400 is 77780.

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 50296464 + 5999431936 = 7092^2 + 77456^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1553656 + ... + 1557544.

Almost surely, 2^6049728400 is an apocalyptic number.

6049728400 is the 77780-th square number.

It is an amenable number.

6049728400 is an abundant number, since it is smaller than the sum of its proper divisors (8488482371).

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

6049728400 is an frugal number, since it uses more digits than its factorization.

6049728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 6049728400 is about 1822.1269261311.

It can be divided in two parts, 6049 and 728400, that added together give a square (734449 = 857²).

The spelling of 6049728400 in words is "six billion, forty-nine million, seven hundred twenty-eight thousand, four hundred".