6908545728000 has 1600 divisors, whose sum is σ = 29901995899776. Its totient is φ = 1552711680000.

The previous prime is 6908545727999. The next prime is 6908545728083. The reversal of 6908545728000 is 8275458096.

6908545728000 is a `hidden beast` number, since 6 + 90 + 8 + 545 + 7 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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 159 ways as a sum of consecutive naturals, for example, 2213566440 + ... + 2213569560.

Almost surely, 2^{6908545728000} is an apocalyptic number.

6908545728000 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 6908545728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950997949888).

6908545728000 is an abundant number, since it is smaller than the sum of its proper divisors (22993450171776).

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

6908545728000 is an equidigital number, since it uses as much as digits as its factorization.

6908545728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 6908545728000 in words is "six trillion, nine hundred eight billion, five hundred forty-five million, seven hundred twenty-eight thousand".