7126672800 has 144 divisors (see below), whose sum is σ = 24981838560. Its totient is φ = 1754250240.

The previous prime is 7126672769. The next prime is 7126672829. The reversal of 7126672800 is 82766217.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83010 + ... + 145409.

It is an arithmetic number, because the mean of its divisors is an integer number (173484990).

Almost surely, 2^7126672800 is an apocalyptic number.

It is an amenable number.

7126672800 is an abundant number, since it is smaller than the sum of its proper divisors (17855165760).

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

7126672800 is a wasteful number, since it uses less digits than its factorization.

7126672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228455 (or 228442 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7126672800 is about 84419.6233111710. The cubic root of 7126672800 is about 1924.4011450288.

The spelling of 7126672800 in words is "seven billion, one hundred twenty-six million, six hundred seventy-two thousand, eight hundred".