6133669920 has 576 divisors, whose sum is σ = 25642745856. Its totient is φ = 1354890240.

The previous prime is 6133669891. The next prime is 6133669933. The reversal of 6133669920 is 299663316.

It is a happy number.

6133669920 is a `hidden beast` number, since 613 + 3 + 6 + 6 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8436597 + ... + 8437323.

It is an arithmetic number, because the mean of its divisors is an integer number (44518656).

Almost surely, 2^6133669920 is an apocalyptic number.

6133669920 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 6133669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821372928).

6133669920 is an abundant number, since it is smaller than the sum of its proper divisors (19509075936).

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

6133669920 is a wasteful number, since it uses less digits than its factorization.

6133669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 6133669920 is about 78317.7497123098. The cubic root of 6133669920 is about 1830.5157374665.

It can be divided in two parts, 613366 and 9920, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 6133669920 in words is "six billion, one hundred thirty-three million, six hundred sixty-nine thousand, nine hundred twenty".