6928422912000 has 960 divisors, whose sum is σ = 25880498542080. Its totient is φ = 1828749312000.

The previous prime is 6928422911981. The next prime is 6928422912001. The reversal of 6928422912000 is 2192248296.

6928422912000 is a `hidden beast` number, since 69 + 284 + 2 + 291 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6928422912001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5916671415 + ... + 5916672585.

It is an arithmetic number, because the mean of its divisors is an integer number (26958852648).

Almost surely, 2^{6928422912000} is an apocalyptic number.

6928422912000 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 6928422912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940249271040).

6928422912000 is an abundant number, since it is smaller than the sum of its proper divisors (18952075630080).

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

6928422912000 is a wasteful number, since it uses less digits than its factorization.

6928422912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6928422912000 in words is "six trillion, nine hundred twenty-eight billion, four hundred twenty-two million, nine hundred twelve thousand".