6413091840 has 352 divisors, whose sum is σ = 23793672960. Its totient is φ = 1634992128.

The previous prime is 6413091823. The next prime is 6413091877. The reversal of 6413091840 is 481903146.

6413091840 is a `hidden beast` number, since 641 + 3 + 0 + 9 + 1 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×6413091840² = 82255493896549171200, 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 = 6413091795 and 6413091804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178512 + ... + 3180528.

Almost surely, 2^6413091840 is an apocalyptic number.

6413091840 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 6413091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896836480).

6413091840 is an abundant number, since it is smaller than the sum of its proper divisors (17380581120).

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

6413091840 is a wasteful number, since it uses less digits than its factorization.

6413091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6413091840 is about 80081.7821979506. The cubic root of 6413091840 is about 1857.9006490791.

Adding to 6413091840 its reverse (481903146), we get a palindrome (6894994986).

The spelling of 6413091840 in words is "six billion, four hundred thirteen million, ninety-one thousand, eight hundred forty".