7291791360 has 576 divisors, whose sum is σ = 29436825600. Its totient is φ = 1634992128.

The previous prime is 7291791347. The next prime is 7291791389. The reversal of 7291791360 is 631971927.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 57415617 + ... + 57415743.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 2^7291791360 is an apocalyptic number.

7291791360 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 7291791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718412800).

7291791360 is an abundant number, since it is smaller than the sum of its proper divisors (22145034240).

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

7291791360 is a wasteful number, since it uses less digits than its factorization.

7291791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 7291791360 is about 85391.9865092738. The cubic root of 7291791360 is about 1939.1500297551.

The spelling of 7291791360 in words is "seven billion, two hundred ninety-one million, seven hundred ninety-one thousand, three hundred sixty".