7261470720 has 720 divisors, whose sum is σ = 30481174080. Its totient is φ = 1634992128.

The previous prime is 7261470707. The next prime is 7261470743. The reversal of 7261470720 is 270741627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108380127 + ... + 108380193.

It is an arithmetic number, because the mean of its divisors is an integer number (42334964).

Almost surely, 2^7261470720 is an apocalyptic number.

7261470720 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 7261470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240587040).

7261470720 is an abundant number, since it is smaller than the sum of its proper divisors (23219703360).

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

7261470720 is an equidigital number, since it uses as much as digits as its factorization.

7261470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7261470720 is about 85214.2635947762. The cubic root of 7261470720 is about 1936.4585121680.

The spelling of 7261470720 in words is "seven billion, two hundred sixty-one million, four hundred seventy thousand, seven hundred twenty".