6133929984 has 768 divisors, whose sum is σ = 23775897600. Its totient is φ = 1518206976.

The previous prime is 6133929959. The next prime is 6133930013. The reversal of 6133929984 is 4899293316.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6133929984² = 75250194097228480512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6133929984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115734502 + ... + 115734554.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^6133929984 is an apocalyptic number.

6133929984 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 6133929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

6133929984 is an abundant number, since it is smaller than the sum of its proper divisors (17641967616).

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

6133929984 is a wasteful number, since it uses less digits than its factorization.

6133929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 6133929984 is about 78319.4100079923. The cubic root of 6133929984 is about 1830.5416080314.

The spelling of 6133929984 in words is "six billion, one hundred thirty-three million, nine hundred twenty-nine thousand, nine hundred eighty-four".