6133065840 has 120 divisors (see below), whose sum is σ = 22469352048. Its totient is φ = 1486801920.

The previous prime is 6133065833. The next prime is 6133065857. The reversal of 6133065840 is 485603316.

6133065840 is a `hidden beast` number, since 613 + 30 + 6 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6133065840² = 75228993195549811200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6133065795 and 6133065804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379269 + ... + 395108.

Almost surely, 2^6133065840 is an apocalyptic number.

6133065840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6133065840 is an abundant number, since it is smaller than the sum of its proper divisors (16336286208).

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

6133065840 is a wasteful number, since it uses less digits than its factorization.

6133065840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774407 (or 774398 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6133065840 is about 78313.8930203320. The cubic root of 6133065840 is about 1830.4556421639.

The spelling of 6133065840 in words is "six billion, one hundred thirty-three million, sixty-five thousand, eight hundred forty".