5004620895744 has 640 divisors, whose sum is σ = 16397396928000. Its totient is φ = 1500755558400.

The previous prime is 5004620895721. The next prime is 5004620895751. The reversal of 5004620895744 is 4475980264005.

5004620895744 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 62 + 0 + 8 + 9 + 574 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 464633079 + ... + 464643849.

It is an arithmetic number, because the mean of its divisors is an integer number (25620932700).

Almost surely, 2^{5004620895744} is an apocalyptic number.

5004620895744 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 5004620895744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198698464000).

5004620895744 is an abundant number, since it is smaller than the sum of its proper divisors (11392776032256).

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

5004620895744 is a wasteful number, since it uses less digits than its factorization.

5004620895744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5004620895744 in words is "five trillion, four billion, six hundred twenty million, eight hundred ninety-five thousand, seven hundred forty-four".