6049976508900 has 243 divisors, whose sum is σ = 19118376904809. Its totient is φ = 1600241624640.

The previous prime is 6049976508889. The next prime is 6049976508923. The reversal of 6049976508900 is 98056799406.

It is a happy number.

The square root of 6049976508900 is 2459670.

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

6049976508900 is a `hidden beast` number, since 6 + 0 + 499 + 7 + 6 + 50 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2177991543204 + 3871984965696 = 1475802^2 + 1967736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12027786049 + ... + 12027786551.

Almost surely, 2^{6049976508900} is an apocalyptic number.

6049976508900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6049976508900 is the 2459670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6049976508900

6049976508900 is an abundant number, since it is smaller than the sum of its proper divisors (13068400395909).

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

6049976508900 is a wasteful number, since it uses less digits than its factorization.

6049976508900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 6049976508900 in words is "six trillion, forty-nine billion, nine hundred seventy-six million, five hundred eight thousand, nine hundred".