7409272320 has 240 divisors, whose sum is σ = 25761333312. Its totient is φ = 1968046080.

The previous prime is 7409272309. The next prime is 7409272327. The reversal of 7409272320 is 232729047.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7409272327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8132665 + ... + 8133575.

Almost surely, 2^7409272320 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 7409272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880666656).

7409272320 is an abundant number, since it is smaller than the sum of its proper divisors (18352060992).

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

7409272320 is a wasteful number, since it uses less digits than its factorization.

7409272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7409272320 is about 86077.1300636818. The cubic root of 7409272320 is about 1949.5087362068.

The spelling of 7409272320 in words is "seven billion, four hundred nine million, two hundred seventy-two thousand, three hundred twenty".