6413337000 has 320 divisors, whose sum is σ = 25623037440. Its totient is φ = 1465776000.

The previous prime is 6413336987. The next prime is 6413337011. The reversal of 6413337000 is 7333146.

It is a happy number.

It is a super-2 number, since 2×6413337000² = 82261782951138000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 561345 + ... + 572655.

It is an arithmetic number, because the mean of its divisors is an integer number (80071992).

Almost surely, 2^6413337000 is an apocalyptic number.

6413337000 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 6413337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811518720).

6413337000 is an abundant number, since it is smaller than the sum of its proper divisors (19209700440).

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

6413337000 is a wasteful number, since it uses less digits than its factorization.

6413337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 6413337000 is about 80083.3128685371. The cubic root of 6413337000 is about 1857.9243234175.

The spelling of 6413337000 in words is "six billion, four hundred thirteen million, three hundred thirty-seven thousand".