6941450880 has 1536 divisors, whose sum is σ = 33682521600. Its totient is φ = 1274019840.

The previous prime is 6941450851. The next prime is 6941450909. The reversal of 6941450880 is 880541496.

6941450880 is a `hidden beast` number, since 69 + 4 + 1 + 4 + 508 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6941450851) and next prime (6941450909).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169303660 + ... + 169303700.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^6941450880 is an apocalyptic number.

6941450880 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 6941450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841260800).

6941450880 is an abundant number, since it is smaller than the sum of its proper divisors (26741070720).

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

6941450880 is a wasteful number, since it uses less digits than its factorization.

6941450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6941450880 is about 83315.3700105809. The cubic root of 6941450880 is about 1907.5828894526.

The spelling of 6941450880 in words is "six billion, nine hundred forty-one million, four hundred fifty thousand, eight hundred eighty".