7291198080 has 384 divisors, whose sum is σ = 25903463040. Its totient is φ = 1889280000.

The previous prime is 7291198069. The next prime is 7291198081. The reversal of 7291198080 is 808911927.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7291198081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48286005 + ... + 48286155.

It is an arithmetic number, because the mean of its divisors is an integer number (67456935).

Almost surely, 2^7291198080 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 7291198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951731520).

7291198080 is an abundant number, since it is smaller than the sum of its proper divisors (18612264960).

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

7291198080 is a wasteful number, since it uses less digits than its factorization.

7291198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 7291198080 is about 85388.5125763413. The cubic root of 7291198080 is about 1939.0974368198.

The spelling of 7291198080 in words is "seven billion, two hundred ninety-one million, one hundred ninety-eight thousand, eighty".