6526314720 has 192 divisors, whose sum is σ = 23328829440. Its totient is φ = 1703268864.

The previous prime is 6526314679. The next prime is 6526314727. The reversal of 6526314720 is 274136256.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6526314727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186969 + ... + 219111.

It is an arithmetic number, because the mean of its divisors is an integer number (121504320).

Almost surely, 2^6526314720 is an apocalyptic number.

6526314720 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 6526314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664414720).

6526314720 is an abundant number, since it is smaller than the sum of its proper divisors (16802514720).

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

6526314720 is a wasteful number, since it uses less digits than its factorization.

6526314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32214 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6526314720 is about 80785.6096096328. The cubic root of 6526314720 is about 1868.7706486162.

The spelling of 6526314720 in words is "six billion, five hundred twenty-six million, three hundred fourteen thousand, seven hundred twenty".