7672646880 has 288 divisors, whose sum is σ = 27737367840. Its totient is φ = 1925959680.

The previous prime is 7672646867. The next prime is 7672646887. The reversal of 7672646880 is 886462767.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7672646887) 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, 4732470 + ... + 4734090.

It is an arithmetic number, because the mean of its divisors is an integer number (96310305).

Almost surely, 2^7672646880 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 7672646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868683920).

7672646880 is an abundant number, since it is smaller than the sum of its proper divisors (20064720960).

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

7672646880 is a wasteful number, since it uses less digits than its factorization.

7672646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7672646880 is about 87593.6463449262. The cubic root of 7672646880 is about 1972.3397933563.

The spelling of 7672646880 in words is "seven billion, six hundred seventy-two million, six hundred forty-six thousand, eight hundred eighty".