6411875040 has 288 divisors, whose sum is σ = 23797126080. Its totient is φ = 1565540352.

The previous prime is 6411875027. The next prime is 6411875053. The reversal of 6411875040 is 405781146.

It is a happy number.

6411875040 is a `hidden beast` number, since 64 + 11 + 87 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6411875027) and next prime (6411875053).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6411875040² = 82224283057150003200, 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 = 6411874986 and 6411875004.

It is a congruent number.

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, 902221 + ... + 909299.

It is an arithmetic number, because the mean of its divisors is an integer number (82628910).

Almost surely, 2^6411875040 is an apocalyptic number.

6411875040 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 6411875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898563040).

6411875040 is an abundant number, since it is smaller than the sum of its proper divisors (17385251040).

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

6411875040 is a wasteful number, since it uses less digits than its factorization.

6411875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6411875040 is about 80074.1846040283. The cubic root of 6411875040 is about 1857.7831375594.

The spelling of 6411875040 in words is "six billion, four hundred eleven million, eight hundred seventy-five thousand, forty".