6926280721920 has 1440 divisors, whose sum is σ = 29318503870656. Its totient is φ = 1479986380800.

The previous prime is 6926280721901. The next prime is 6926280721933. The reversal of 6926280721920 is 291270826296.

6926280721920 is a `hidden beast` number, since 6 + 9 + 2 + 628 + 0 + 7 + 2 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8436395110 + ... + 8436395930.

Almost surely, 2^{6926280721920} is an apocalyptic number.

6926280721920 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 6926280721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659251935328).

6926280721920 is an abundant number, since it is smaller than the sum of its proper divisors (22392223148736).

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

6926280721920 is a wasteful number, since it uses less digits than its factorization.

6926280721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 6926280721920 in words is "six trillion, nine hundred twenty-six billion, two hundred eighty million, seven hundred twenty-one thousand, nine hundred twenty".