6413550000 has 720 divisors, whose sum is σ = 25526866176. Its totient is φ = 1372800000.

The previous prime is 6413549963. The next prime is 6413550001. The reversal of 6413550000 is 553146.

It is a super-2 number, since 2×6413550000² = 82267247205000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6413550001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278849989 + ... + 278850011.

Almost surely, 2^6413550000 is an apocalyptic number.

6413550000 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 6413550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763433088).

6413550000 is an abundant number, since it is smaller than the sum of its proper divisors (19113316176).

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

6413550000 is a wasteful number, since it uses less digits than its factorization.

6413550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 6413550000 is about 80084.6427225595. The cubic root of 6413550000 is about 1857.9448916749.

The spelling of 6413550000 in words is "six billion, four hundred thirteen million, five hundred fifty thousand".