6133940736 has 480 divisors, whose sum is σ = 21495767040. Its totient is φ = 1535385600.

The previous prime is 6133940707. The next prime is 6133940779. The reversal of 6133940736 is 6370493316.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25664905 + ... + 25665143.

It is an arithmetic number, because the mean of its divisors is an integer number (44782848).

Almost surely, 2^6133940736 is an apocalyptic number.

6133940736 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 6133940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747883520).

6133940736 is an abundant number, since it is smaller than the sum of its proper divisors (15361826304).

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

6133940736 is a wasteful number, since it uses less digits than its factorization.

6133940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 6133940736 is about 78319.4786499502. The cubic root of 6133940736 is about 1830.5426775997.

The spelling of 6133940736 in words is "six billion, one hundred thirty-three million, nine hundred forty thousand, seven hundred thirty-six".