4668432620544 has 1760 divisors, whose sum is σ = 18469191324672. Its totient is φ = 1138655232000.

The previous prime is 4668432620531. The next prime is 4668432620557. The reversal of 4668432620544 is 4450262348664.

4668432620544 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 4 + 3 + 2 + 620 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4668432620531) and next prime (4668432620557).

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 8960523004 + ... + 8960523524.

Almost surely, 2^{4668432620544} is an apocalyptic number.

4668432620544 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 4668432620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234595662336).

4668432620544 is an abundant number, since it is smaller than the sum of its proper divisors (13800758704128).

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

4668432620544 is a wasteful number, since it uses less digits than its factorization.

4668432620544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 4668432620544 in words is "four trillion, six hundred sixty-eight billion, four hundred thirty-two million, six hundred twenty thousand, five hundred forty-four".