6872693940000 has 2160 divisors, whose sum is σ = 30522258375840. Its totient is φ = 1499541120000.

The previous prime is 6872693939999. The next prime is 6872693940029. The reversal of 6872693940000 is 493962786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13997339755 + ... + 13997340245.

It is an arithmetic number, because the mean of its divisors is an integer number (14130675174).

Almost surely, 2^{6872693940000} is an apocalyptic number.

6872693940000 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 6872693940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261129187920).

6872693940000 is an abundant number, since it is smaller than the sum of its proper divisors (23649564435840).

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

6872693940000 is a wasteful number, since it uses less digits than its factorization.

6872693940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6872693940000 in words is "six trillion, eight hundred seventy-two billion, six hundred ninety-three million, nine hundred forty thousand".