7438374720 has 448 divisors, whose sum is σ = 31031078400. Its totient is φ = 1641185280.

The previous prime is 7438374719. The next prime is 7438374739. The reversal of 7438374720 is 274738347.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1751800 + ... + 1756040.

It is an arithmetic number, because the mean of its divisors is an integer number (69265800).

Almost surely, 2^7438374720 is an apocalyptic number.

7438374720 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 7438374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515539200).

7438374720 is an abundant number, since it is smaller than the sum of its proper divisors (23592703680).

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

7438374720 is a wasteful number, since it uses less digits than its factorization.

7438374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 7438374720 is about 86246.0127774032. The cubic root of 7438374720 is about 1952.0578512372.

The spelling of 7438374720 in words is "seven billion, four hundred thirty-eight million, three hundred seventy-four thousand, seven hundred twenty".