7239680448 has 448 divisors, whose sum is σ = 25999196160. Its totient is φ = 1716940800.

The previous prime is 7239680431. The next prime is 7239680453. The reversal of 7239680448 is 8440869327.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7239680448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26714553 + ... + 26714823.

It is an arithmetic number, because the mean of its divisors is an integer number (58033920).

Almost surely, 2^7239680448 is an apocalyptic number.

7239680448 is a gapful number since it is divisible by the number (78) 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 7239680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999598080).

7239680448 is an abundant number, since it is smaller than the sum of its proper divisors (18759515712).

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

7239680448 is a wasteful number, since it uses less digits than its factorization.

7239680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 7239680448 is about 85086.3117545942. The cubic root of 7239680448 is about 1934.5195920263.

The spelling of 7239680448 in words is "seven billion, two hundred thirty-nine million, six hundred eighty thousand, four hundred forty-eight".