5754681676800 has 3696 divisors, whose sum is σ = 26633664384000. Its totient is φ = 1229031014400.

The previous prime is 5754681676789. The next prime is 5754681676811. The reversal of 5754681676800 is 86761864575.

5754681676800 is a `hidden beast` number, since 5 + 7 + 5 + 468 + 167 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5754681676789) and next prime (5754681676811).

It is a super-2 number, since 2×5754681676800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 185634892785 + ... + 185634892815.

Almost surely, 2^{5754681676800} is an apocalyptic number.

5754681676800 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 5754681676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316832192000).

5754681676800 is an abundant number, since it is smaller than the sum of its proper divisors (20878982707200).

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

5754681676800 is an equidigital number, since it uses as much as digits as its factorization.

5754681676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5754681676800 in words is "five trillion, seven hundred fifty-four billion, six hundred eighty-one million, six hundred seventy-six thousand, eight hundred".