7249327680 has 896 divisors, whose sum is σ = 30337597440. Its totient is φ = 1427374080.

The previous prime is 7249327669. The next prime is 7249327681. The reversal of 7249327680 is 867239427.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7249327681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81453076 + ... + 81453164.

Almost surely, 2^7249327680 is an apocalyptic number.

7249327680 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 7249327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168798720).

7249327680 is an abundant number, since it is smaller than the sum of its proper divisors (23088269760).

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

7249327680 is a wasteful number, since it uses less digits than its factorization.

7249327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 7249327680 is about 85142.9837391197. The cubic root of 7249327680 is about 1935.3784916189.

The spelling of 7249327680 in words is "seven billion, two hundred forty-nine million, three hundred twenty-seven thousand, six hundred eighty".