7126736400 has 675 divisors, whose sum is σ = 30203873469. Its totient is φ = 1604655360.

The previous prime is 7126736359. The next prime is 7126736401. The reversal of 7126736400 is 46376217.

The square root of 7126736400 is 84420.

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

7126736400 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 7 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2565625104 + 4561111296 = 50652^2 + 67536^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7126736401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 106369167 + ... + 106369233.

Almost surely, 2^7126736400 is an apocalyptic number.

7126736400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7126736400 is the 84420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126736400

7126736400 is an abundant number, since it is smaller than the sum of its proper divisors (23077137069).

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

7126736400 is a wasteful number, since it uses less digits than its factorization.

7126736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 7126736400 is about 1924.4068696052.

Multiplying 7126736400 by its sum of digits (36), we get a square (256562510400 = 506520²).

7126736400 divided by its sum of digits (36) gives a square (197964900 = 14070²).

The spelling of 7126736400 in words is "seven billion, one hundred twenty-six million, seven hundred thirty-six thousand, four hundred".