6503068152 has 320 divisors, whose sum is σ = 21745152000. Its totient is φ = 1776660480.

The previous prime is 6503068151. The next prime is 6503068171. The reversal of 6503068152 is 2518603056.

It is a super-3 number, since 3×6503068152³ (a number of 30 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6503068151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14483224 + ... + 14483672.

It is an arithmetic number, because the mean of its divisors is an integer number (67953600).

Almost surely, 2^6503068152 is an apocalyptic number.

6503068152 is a gapful number since it is divisible by the number (62) 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 6503068152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872576000).

6503068152 is an abundant number, since it is smaller than the sum of its proper divisors (15242083848).

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

6503068152 is a wasteful number, since it uses less digits than its factorization.

6503068152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6503068152 is about 80641.6031090652. The cubic root of 6503068152 is about 1866.5491709775.

The spelling of 6503068152 in words is "six billion, five hundred three million, sixty-eight thousand, one hundred fifty-two".