6526873920 has 896 divisors, whose sum is σ = 27528560640. Its totient is φ = 1274019840.

The previous prime is 6526873919. The next prime is 6526873933. The reversal of 6526873920 is 293786256.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6526873920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67287312 + ... + 67287408.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^6526873920 is an apocalyptic number.

6526873920 is a gapful number since it is divisible by the number (60) 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 6526873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764280320).

6526873920 is an abundant number, since it is smaller than the sum of its proper divisors (21001686720).

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

6526873920 is a wasteful number, since it uses less digits than its factorization.

6526873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6526873920 is about 80789.0705479398. The cubic root of 6526873920 is about 1868.8240216016.

The spelling of 6526873920 in words is "six billion, five hundred twenty-six million, eight hundred seventy-three thousand, nine hundred twenty".