6936002304 has 288 divisors, whose sum is σ = 23459756544. Its totient is φ = 1766768640.

The previous prime is 6936002287. The next prime is 6936002309. The reversal of 6936002304 is 4032006396.

It is a super-2 number, since 2×6936002304² = 96216255922186616832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6936002309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3133102 + ... + 3135314.

It is an arithmetic number, because the mean of its divisors is an integer number (81457488).

Almost surely, 2^6936002304 is an apocalyptic number.

6936002304 is a gapful number since it is divisible by the number (64) 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 6936002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729878272).

6936002304 is an abundant number, since it is smaller than the sum of its proper divisors (16523754240).

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

6936002304 is a wasteful number, since it uses less digits than its factorization.

6936002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 6936002304 is about 83282.6650870396. The cubic root of 6936002304 is about 1907.0836503575.

The spelling of 6936002304 in words is "six billion, nine hundred thirty-six million, two thousand, three hundred four".