6266790610080 has 3072 divisors, whose sum is σ = 28794440908800. Its totient is φ = 1126611763200.

The previous prime is 6266790610043. The next prime is 6266790610121. The reversal of 6266790610080 is 800160976626.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38446568079 + ... + 38446568241.

It is an arithmetic number, because the mean of its divisors is an integer number (9373190400).

Almost surely, 2^{6266790610080} is an apocalyptic number.

6266790610080 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 6266790610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397220454400).

6266790610080 is an abundant number, since it is smaller than the sum of its proper divisors (22527650298720).

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

6266790610080 is a wasteful number, since it uses less digits than its factorization.

6266790610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 6266790610080 in words is "six trillion, two hundred sixty-six billion, seven hundred ninety million, six hundred ten thousand, eighty".