7672258720 has 96 divisors (see below), whose sum is σ = 20765808000. Its totient is φ = 2624050176.

The previous prime is 7672258673. The next prime is 7672258733. The reversal of 7672258720 is 278522767.

It is a super-3 number, since 3×7672258720³ (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 461106 + ... + 477454.

It is an arithmetic number, because the mean of its divisors is an integer number (216310500).

Almost surely, 2^7672258720 is an apocalyptic number.

7672258720 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 7672258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382904000).

7672258720 is an abundant number, since it is smaller than the sum of its proper divisors (13093549280).

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

7672258720 is a wasteful number, since it uses less digits than its factorization.

7672258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16790 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 7672258720 is about 87591.4306310840. The cubic root of 7672258720 is about 1972.3065325040.

The spelling of 7672258720 in words is "seven billion, six hundred seventy-two million, two hundred fifty-eight thousand, seven hundred twenty".