7480242000 has 960 divisors, whose sum is σ = 34136743680. Its totient is φ = 1548288000.

The previous prime is 7480241981. The next prime is 7480242013. The reversal of 7480242000 is 2420847.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29105872 + ... + 29106128.

It is an arithmetic number, because the mean of its divisors is an integer number (35559108).

Almost surely, 2^7480242000 is an apocalyptic number.

7480242000 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 7480242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068371840).

7480242000 is an abundant number, since it is smaller than the sum of its proper divisors (26656501680).

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

7480242000 is a wasteful number, since it uses less digits than its factorization.

7480242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7480242000 is about 86488.3922847454. The cubic root of 7480242000 is about 1955.7134210730.

Adding to 7480242000 its reverse (2420847), we get a palindrome (7482662847).

The spelling of 7480242000 in words is "seven billion, four hundred eighty million, two hundred forty-two thousand".