7291982880 has 768 divisors, whose sum is σ = 31938278400. Its totient is φ = 1531809792.

The previous prime is 7291982879. The next prime is 7291982939. The reversal of 7291982880 is 882891927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31842606 + ... + 31842834.

It is an arithmetic number, because the mean of its divisors is an integer number (41586300).

Almost surely, 2^7291982880 is an apocalyptic number.

7291982880 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 7291982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969139200).

7291982880 is an abundant number, since it is smaller than the sum of its proper divisors (24646295520).

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

7291982880 is a wasteful number, since it uses less digits than its factorization.

7291982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 7291982880 is about 85393.1079186137. The cubic root of 7291982880 is about 1939.1670069624.

The spelling of 7291982880 in words is "seven billion, two hundred ninety-one million, nine hundred eighty-two thousand, eight hundred eighty".