7481241600 has 624 divisors, whose sum is σ = 29251699200. Its totient is φ = 1685913600.

The previous prime is 7481241541. The next prime is 7481241601. The reversal of 7481241600 is 61421847.

It is not an unprimeable number, because it can be changed into a prime (7481241601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105369565 + ... + 105369635.

Almost surely, 2^7481241600 is an apocalyptic number.

7481241600 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 7481241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625849600).

7481241600 is an abundant number, since it is smaller than the sum of its proper divisors (21770457600).

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

7481241600 is an equidigital number, since it uses as much as digits as its factorization.

7481241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7481241600 is about 86494.1709018590. The cubic root of 7481241600 is about 1955.8005325177.

The spelling of 7481241600 in words is "seven billion, four hundred eighty-one million, two hundred forty-one thousand, six hundred".