7528080672 has 288 divisors, whose sum is σ = 25444823040. Its totient is φ = 2065927680.

The previous prime is 7528080667. The next prime is 7528080691. The reversal of 7528080672 is 2760808257.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 10186479 + ... + 10187217.

It is an arithmetic number, because the mean of its divisors is an integer number (88350080).

Almost surely, 2^7528080672 is an apocalyptic number.

7528080672 is a gapful number since it is divisible by the number (72) 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 7528080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722411520).

7528080672 is an abundant number, since it is smaller than the sum of its proper divisors (17916742368).

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

7528080672 is a wasteful number, since it uses less digits than its factorization.

7528080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7528080672 is about 86764.5127457073. The cubic root of 7528080672 is about 1959.8737139236.

The spelling of 7528080672 in words is "seven billion, five hundred twenty-eight million, eighty thousand, six hundred seventy-two".