7425334800 has 900 divisors, whose sum is σ = 30986095756. Its totient is φ = 1692057600.

The previous prime is 7425334793. The next prime is 7425334859. The reversal of 7425334800 is 84335247.

It is a happy number.

7425334800 is a `hidden beast` number, since 7 + 42 + 533 + 4 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 6069033216 + 1356301584 = 77904^2 + 36828^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 121726770 + ... + 121726830.

Almost surely, 2^7425334800 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 7425334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493047878).

7425334800 is an abundant number, since it is smaller than the sum of its proper divisors (23560760956).

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

7425334800 is a wasteful number, since it uses less digits than its factorization.

7425334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7425334800 is about 86170.3823828118. The cubic root of 7425334800 is about 1950.9164922617.

It can be divided in two parts, 7425 and 334800, that added together give a square (342225 = 585²).

The spelling of 7425334800 in words is "seven billion, four hundred twenty-five million, three hundred thirty-four thousand, eight hundred".