6771661142400 has 2304 divisors, whose sum is σ = 30959644884480. Its totient is φ = 1368686592000.

The previous prime is 6771661142383. The next prime is 6771661142417. The reversal of 6771661142400 is 42411661776.

6771661142400 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 6 + 611 + 4 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6771661142383) and next prime (6771661142417).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15285916579 + ... + 15285917021.

It is an arithmetic number, because the mean of its divisors is an integer number (13437345870).

Almost surely, 2^{6771661142400} is an apocalyptic number.

6771661142400 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 6771661142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479822442240).

6771661142400 is an abundant number, since it is smaller than the sum of its proper divisors (24187983742080).

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

6771661142400 is a wasteful number, since it uses less digits than its factorization.

6771661142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 6771661142400 in words is "six trillion, seven hundred seventy-one billion, six hundred sixty-one million, one hundred forty-two thousand, four hundred".