6890256912 has 480 divisors, whose sum is σ = 23840759808. Its totient is φ = 1707552000.

The previous prime is 6890256889. The next prime is 6890256929. The reversal of 6890256912 is 2196520986.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97045837 + ... + 97045907.

Almost surely, 2^6890256912 is an apocalyptic number.

6890256912 is a gapful number since it is divisible by the number (62) 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 6890256912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920379904).

6890256912 is an abundant number, since it is smaller than the sum of its proper divisors (16950502896).

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

6890256912 is a wasteful number, since it uses less digits than its factorization.

6890256912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 6890256912 is about 83007.5714136970. The cubic root of 6890256912 is about 1902.8817684127.

The spelling of 6890256912 in words is "six billion, eight hundred ninety million, two hundred fifty-six thousand, nine hundred twelve".