6775542393984 has 2048 divisors, whose sum is σ = 26383408128000. Its totient is φ = 1664161873920.

The previous prime is 6775542393979. The next prime is 6775542394021. The reversal of 6775542393984 is 4893932455776.

It is a happy number.

6775542393984 is a `hidden beast` number, since 6 + 7 + 7 + 554 + 2 + 39 + 39 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 51721697599 + ... + 51721697729.

It is an arithmetic number, because the mean of its divisors is an integer number (12882523500).

Almost surely, 2^{6775542393984} is an apocalyptic number.

6775542393984 is a gapful number since it is divisible by the number (64) 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 6775542393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191704064000).

6775542393984 is an abundant number, since it is smaller than the sum of its proper divisors (19607865734016).

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

6775542393984 is a wasteful number, since it uses less digits than its factorization.

6775542393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 6775542393984 in words is "six trillion, seven hundred seventy-five billion, five hundred forty-two million, three hundred ninety-three thousand, nine hundred eighty-four".