6778146662400 has 1152 divisors, whose sum is σ = 24154274027520. Its totient is φ = 1672839168000.

The previous prime is 6778146662387. The next prime is 6778146662431. The reversal of 6778146662400 is 42666418776.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15300556579 + ... + 15300557021.

It is an arithmetic number, because the mean of its divisors is an integer number (20967251760).

Almost surely, 2^{6778146662400} is an apocalyptic number.

6778146662400 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 6778146662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077137013760).

6778146662400 is an abundant number, since it is smaller than the sum of its proper divisors (17376127365120).

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

6778146662400 is a wasteful number, since it uses less digits than its factorization.

6778146662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 6778146662400 in words is "six trillion, seven hundred seventy-eight billion, one hundred forty-six million, six hundred sixty-two thousand, four hundred".