4047689124864 has 1408 divisors, whose sum is σ = 15439240396800. Its totient is φ = 1017225216000.

The previous prime is 4047689124821. The next prime is 4047689124883. The reversal of 4047689124864 is 4684219867404.

4047689124864 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 68 + 91 + 2 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9220248357 + ... + 9220248795.

It is an arithmetic number, because the mean of its divisors is an integer number (10965369600).

Almost surely, 2^{4047689124864} is an apocalyptic number.

4047689124864 is a gapful number since it is divisible by the number (44) 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 4047689124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719620198400).

4047689124864 is an abundant number, since it is smaller than the sum of its proper divisors (11391551271936).

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

4047689124864 is a wasteful number, since it uses less digits than its factorization.

4047689124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 4047689124864 in words is "four trillion, forty-seven billion, six hundred eighty-nine million, one hundred twenty-four thousand, eight hundred sixty-four".