7494004320 has 288 divisors, whose sum is σ = 27316880640. Its totient is φ = 1720857600.

The previous prime is 7494004211. The next prime is 7494004321. The reversal of 7494004320 is 234004947.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7494004321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100125 + ... + 1106915.

It is an arithmetic number, because the mean of its divisors is an integer number (94850280).

Almost surely, 2^7494004320 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 7494004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658440320).

7494004320 is an abundant number, since it is smaller than the sum of its proper divisors (19822876320).

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

7494004320 is a wasteful number, since it uses less digits than its factorization.

7494004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 7494004320 is about 86567.9173828272. The cubic root of 7494004320 is about 1956.9120750029.

The spelling of 7494004320 in words is "seven billion, four hundred ninety-four million, four thousand, three hundred twenty".