5746984276800 has 672 divisors, whose sum is σ = 21588173768448. Its totient is φ = 1327587655680.

The previous prime is 5746984276793. The next prime is 5746984276877. The reversal of 5746984276800 is 86724896475.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 76027824 + ... + 76103376.

It is an arithmetic number, because the mean of its divisors is an integer number (32125258584).

Almost surely, 2^{5746984276800} is an apocalyptic number.

5746984276800 is a gapful number since it is divisible by the number (50) 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 5746984276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794086884224).

5746984276800 is an abundant number, since it is smaller than the sum of its proper divisors (15841189491648).

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

5746984276800 is a wasteful number, since it uses less digits than its factorization.

5746984276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75667 (or 75652 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 5746984276800 in words is "five trillion, seven hundred forty-six billion, nine hundred eighty-four million, two hundred seventy-six thousand, eight hundred".