6906089036928 has 256 divisors, whose sum is σ = 20278041292800. Its totient is φ = 2071375527936.

The previous prime is 6906089036881. The next prime is 6906089036933. The reversal of 6906089036928 is 8296309806096.

It is a super-2 number, since 2×6906089036928² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330756793 + ... + 330777671.

It is an arithmetic number, because the mean of its divisors is an integer number (79211098800).

Almost surely, 2^{6906089036928} is an apocalyptic number.

6906089036928 is a gapful number since it is divisible by the number (68) 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 6906089036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139020646400).

6906089036928 is an abundant number, since it is smaller than the sum of its proper divisors (13371952255872).

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

6906089036928 is a wasteful number, since it uses less digits than its factorization.

6906089036928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23139 (or 23127 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 6906089036928 in words is "six trillion, nine hundred six billion, eighty-nine million, thirty-six thousand, nine hundred twenty-eight".