6771620640 has 192 divisors, whose sum is σ = 22273574400. Its totient is φ = 1727115264.

The previous prime is 6771620623. The next prime is 6771620677. The reversal of 6771620640 is 460261776.

It is a super-3 number, since 3×6771620640³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1515049 + ... + 1519511.

It is an arithmetic number, because the mean of its divisors is an integer number (116008200).

Almost surely, 2^6771620640 is an apocalyptic number.

6771620640 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 6771620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136787200).

6771620640 is an abundant number, since it is smaller than the sum of its proper divisors (15501953760).

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

6771620640 is a wasteful number, since it uses less digits than its factorization.

6771620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 6771620640 is about 82289.8574552174. The cubic root of 6771620640 is about 1891.8972242503.

The spelling of 6771620640 in words is "six billion, seven hundred seventy-one million, six hundred twenty thousand, six hundred forty".