6527100096 has 672 divisors, whose sum is σ = 23350118400. Its totient is φ = 1779148800.

The previous prime is 6527100091. The next prime is 6527100113. The reversal of 6527100096 is 6900017256.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6527100096.

It is not an unprimeable number, because it can be changed into a prime (6527100091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123152806 + ... + 123152858.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 2^6527100096 is an apocalyptic number.

6527100096 is a gapful number since it is divisible by the number (66) 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 6527100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675059200).

6527100096 is an abundant number, since it is smaller than the sum of its proper divisors (16823018304).

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

6527100096 is a wasteful number, since it uses less digits than its factorization.

6527100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6527100096 is about 80790.4703291174. The cubic root of 6527100096 is about 1868.8456081613.

The spelling of 6527100096 in words is "six billion, five hundred twenty-seven million, one hundred thousand, ninety-six".