6775216358400 has 2772 divisors, whose sum is σ = 30362377397760. Its totient is φ = 1492394803200.

The previous prime is 6775216358399. The next prime is 6775216358401. The reversal of 6775216358400 is 48536125776.

6775216358400 is a `hidden beast` number, since 6 + 7 + 7 + 52 + 1 + 6 + 3 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6775216358399) and next prime (6775216358401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6775216358401) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 28348185481 + ... + 28348185719.

Almost surely, 2^{6775216358400} is an apocalyptic number.

6775216358400 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 6775216358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181188698880).

6775216358400 is an abundant number, since it is smaller than the sum of its proper divisors (23587161039360).

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

6775216358400 is a wasteful number, since it uses less digits than its factorization.

6775216358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 6775216358400 in words is "six trillion, seven hundred seventy-five billion, two hundred sixteen million, three hundred fifty-eight thousand, four hundred".