7466126400 has 588 divisors, whose sum is σ = 28452368292. Its totient is φ = 1925959680.

The previous prime is 7466126383. The next prime is 7466126431. The reversal of 7466126400 is 46216647.

7466126400 is a `hidden beast` number, since 7 + 4 + 6 + 6 + 1 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 764411904 + 6701714496 = 27648^2 + 81864^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43156714 + ... + 43156886.

Almost surely, 2^7466126400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7466126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226184146).

7466126400 is an abundant number, since it is smaller than the sum of its proper divisors (20986241892).

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

7466126400 is a wasteful number, since it uses less digits than its factorization.

7466126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7466126400 is about 86406.7497363487. The cubic root of 7466126400 is about 1954.4824693078.

The spelling of 7466126400 in words is "seven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred".