7868129724000 has 2880 divisors, whose sum is σ = 36782155650240. Its totient is φ = 1632437452800.

The previous prime is 7868129723999. The next prime is 7868129724053. The reversal of 7868129724000 is 4279218687.

It is a happy number.

7868129724000 is a `hidden beast` number, since 78 + 6 + 81 + 2 + 97 + 2 + 400 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13827995716 + ... + 13827996284.

It is an arithmetic number, because the mean of its divisors is an integer number (12771581823).

Almost surely, 2^{7868129724000} is an apocalyptic number.

7868129724000 is a gapful number since it is divisible by the number (70) 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 7868129724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391077825120).

7868129724000 is an abundant number, since it is smaller than the sum of its proper divisors (28914025926240).

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

7868129724000 is a wasteful number, since it uses less digits than its factorization.

7868129724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 7868129724000 in words is "seven trillion, eight hundred sixty-eight billion, one hundred twenty-nine million, seven hundred twenty-four thousand".