7292371680 has 864 divisors, whose sum is σ = 30413335680. Its totient is φ = 1635655680.

The previous prime is 7292371679. The next prime is 7292371721. The reversal of 7292371680 is 861732927.

7292371680 = 307³ + 308³ + ... + 441³.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123599491 + ... + 123599549.

It is an arithmetic number, because the mean of its divisors is an integer number (35200620).

Almost surely, 2^7292371680 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 7292371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206667840).

7292371680 is an abundant number, since it is smaller than the sum of its proper divisors (23120964000).

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

7292371680 is a wasteful number, since it uses less digits than its factorization.

7292371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7292371680 is about 85395.3844185972. The cubic root of 7292371680 is about 1939.2014710556.

The spelling of 7292371680 in words is "seven billion, two hundred ninety-two million, three hundred seventy-one thousand, six hundred eighty".