6816126240000 has 2880 divisors, whose sum is σ = 32464679976960. Its totient is φ = 1368576000000.

The previous prime is 6816126239999. The next prime is 6816126240029. The reversal of 6816126240000 is 426216186.

6816126240000 is a `hidden beast` number, since 6 + 8 + 16 + 12 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10311839670 + ... + 10311840330.

Almost surely, 2^{6816126240000} is an apocalyptic number.

6816126240000 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 6816126240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232339988480).

6816126240000 is an abundant number, since it is smaller than the sum of its proper divisors (25648553736960).

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

6816126240000 is a wasteful number, since it uses less digits than its factorization.

6816126240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6816126240000 in words is "six trillion, eight hundred sixteen billion, one hundred twenty-six million, two hundred forty thousand".