4715986157568 has 1440 divisors, whose sum is σ = 17539505786880. Its totient is φ = 1233251205120.

The previous prime is 4715986157563. The next prime is 4715986157579. The reversal of 4715986157568 is 8657516895174.

4715986157568 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 9 + 8 + 6 + 1 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (508032000) is a multiple of the sum of its prime factors (196).

It is a junction number, because it is equal to n+sod(n) for n = 4715986157496 and 4715986157505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4715986157563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52988608468 + ... + 52988608556.

It is an arithmetic number, because the mean of its divisors is an integer number (12180212352).

Almost surely, 2^{4715986157568} is an apocalyptic number.

4715986157568 is a gapful number since it is divisible by the number (48) 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 4715986157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769752893440).

4715986157568 is an abundant number, since it is smaller than the sum of its proper divisors (12823519629312).

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

4715986157568 is an frugal number, since it uses more digits than its factorization.

4715986157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its digits is 508032000, while the sum is 72.

The spelling of 4715986157568 in words is "four trillion, seven hundred fifteen billion, nine hundred eighty-six million, one hundred fifty-seven thousand, five hundred sixty-eight".