5748335003664 has 320 divisors, whose sum is σ = 18096487584000. Its totient is φ = 1732592332800.

The previous prime is 5748335003651. The next prime is 5748335003681. The reversal of 5748335003664 is 4663005338475.

5748335003664 is a `hidden beast` number, since 5 + 7 + 48 + 3 + 3 + 500 + 36 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5748335003664.

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 63 ways as a sum of consecutive naturals, for example, 698202492 + ... + 698210724.

It is an arithmetic number, because the mean of its divisors is an integer number (56551523700).

Almost surely, 2^{5748335003664} is an apocalyptic number.

5748335003664 is a gapful number since it is divisible by the number (54) 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 5748335003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048243792000).

5748335003664 is an abundant number, since it is smaller than the sum of its proper divisors (12348152580336).

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

5748335003664 is a wasteful number, since it uses less digits than its factorization.

5748335003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 5748335003664 in words is "five trillion, seven hundred forty-eight billion, three hundred thirty-five million, three thousand, six hundred sixty-four".