6755838566400 has 4032 divisors, whose sum is σ = 32796666878976. Its totient is φ = 1337720832000.

The previous prime is 6755838566383. The next prime is 6755838566417. The reversal of 6755838566400 is 46658385576.

6755838566400 is a `hidden beast` number, since 6 + 7 + 5 + 583 + 8 + 5 + 6 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6755838566383) and next prime (6755838566417).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157112524779 + ... + 157112524821.

It is an arithmetic number, because the mean of its divisors is an integer number (8134093968).

Almost surely, 2^{6755838566400} is an apocalyptic number.

6755838566400 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 6755838566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398333439488).

6755838566400 is an abundant number, since it is smaller than the sum of its proper divisors (26040828312576).

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

6755838566400 is a wasteful number, since it uses less digits than its factorization.

6755838566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 6755838566400 in words is "six trillion, seven hundred fifty-five billion, eight hundred thirty-eight million, five hundred sixty-six thousand, four hundred".