6413641520 has 240 divisors, whose sum is σ = 18501128352. Its totient is φ = 2038210560.

The previous prime is 6413641499. The next prime is 6413641543. The reversal of 6413641520 is 251463146.

It is a super-2 number, since 2×6413641520² = 82269595094135820800, which contains 22 as substring.

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, 4129064 + ... + 4130616.

Almost surely, 2^6413641520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250564176).

6413641520 is an abundant number, since it is smaller than the sum of its proper divisors (12087486832).

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

6413641520 is a wasteful number, since it uses less digits than its factorization.

6413641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 6413641520 is about 80085.2141159653. The cubic root of 6413641520 is about 1857.9537291263.

The spelling of 6413641520 in words is "six billion, four hundred thirteen million, six hundred forty-one thousand, five hundred twenty".