6872909292000 has 1920 divisors, whose sum is σ = 27398891520000. Its totient is φ = 1682079436800.

The previous prime is 6872909291957. The next prime is 6872909292043. The reversal of 6872909292000 is 2929092786.

It is a happy number.

6872909292000 is a `hidden beast` number, since 68 + 7 + 290 + 9 + 292 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6872909291957) and next prime (6872909292043).

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 319 ways as a sum of consecutive naturals, for example, 46126907926 + ... + 46126908074.

It is an arithmetic number, because the mean of its divisors is an integer number (14270256000).

Almost surely, 2^{6872909292000} is an apocalyptic number.

6872909292000 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 6872909292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699445760000).

6872909292000 is an abundant number, since it is smaller than the sum of its proper divisors (20525982228000).

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

6872909292000 is a wasteful number, since it uses less digits than its factorization.

6872909292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 6872909292000 in words is "six trillion, eight hundred seventy-two billion, nine hundred nine million, two hundred ninety-two thousand".