6411678367536 has 400 divisors, whose sum is σ = 20872865613600. Its totient is φ = 1886959742976.

The previous prime is 6411678367483. The next prime is 6411678367541. The reversal of 6411678367536 is 6357638761146.

It is a happy number.

6411678367536 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 67 + 8 + 36 + 7 + 536 = 666.

It is a super-2 number, since 2×6411678367536² (a number of 26 digits) contains 22 as substring.

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, 36692020 + ... + 36866348.

It is an arithmetic number, because the mean of its divisors is an integer number (52182164034).

Almost surely, 2^{6411678367536} 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 6411678367536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436432806800).

6411678367536 is an abundant number, since it is smaller than the sum of its proper divisors (14461187246064).

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

6411678367536 is a wasteful number, since it uses less digits than its factorization.

6411678367536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174458 (or 174443 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 6411678367536 in words is "six trillion, four hundred eleven billion, six hundred seventy-eight million, three hundred sixty-seven thousand, five hundred thirty-six".