7425734400 has 648 divisors, whose sum is σ = 31711147440. Its totient is φ = 1695375360.

The previous prime is 7425734363. The next prime is 7425734401. The reversal of 7425734400 is 44375247.

7425734400 is a `hidden beast` number, since 7 + 42 + 573 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7425734401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8466762 + ... + 8467638.

Almost surely, 2^7425734400 is an apocalyptic number.

7425734400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7425734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855573720).

7425734400 is an abundant number, since it is smaller than the sum of its proper divisors (24285413040).

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

7425734400 is a wasteful number, since it uses less digits than its factorization.

7425734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 7425734400 is about 86172.7010137201. The cubic root of 7425734400 is about 1950.9514883154.

The spelling of 7425734400 in words is "seven billion, four hundred twenty-five million, seven hundred thirty-four thousand, four hundred".