6860924928000 has 2880 divisors, whose sum is σ = 30812220391680. Its totient is φ = 1443889152000.

The previous prime is 6860924927971. The next prime is 6860924928001. The reversal of 6860924928000 is 8294290686.

It is a happy number.

6860924928000 is a `hidden beast` number, since 6 + 8 + 60 + 92 + 492 + 8 + 0 + 0 + 0 = 666.

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

It is a super-3 number, since 3×6860924928000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860924928001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50079743932 + ... + 50079744068.

It is an arithmetic number, because the mean of its divisors is an integer number (10698687636).

Almost surely, 2^{6860924928000} is an apocalyptic number.

6860924928000 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 6860924928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406110195840).

6860924928000 is an abundant number, since it is smaller than the sum of its proper divisors (23951295463680).

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

6860924928000 is a wasteful number, since it uses less digits than its factorization.

6860924928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6860924928000 in words is "six trillion, eight hundred sixty billion, nine hundred twenty-four million, nine hundred twenty-eight thousand".