4936580909568 has 1920 divisors, whose sum is σ = 19941503662080. Its totient is φ = 1180299755520.

The previous prime is 4936580909567. The next prime is 4936580909573. The reversal of 4936580909568 is 8659090856394.

4936580909568 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 58 + 0 + 9 + 0 + 9 + 568 = 666.

It is a super-2 number, since 2×4936580909568² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4936580909496 and 4936580909505.

It is not an unprimeable number, because it can be changed into a prime (4936580909563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6734762130 + ... + 6734762862.

It is an arithmetic number, because the mean of its divisors is an integer number (10386199824).

Almost surely, 2^{4936580909568} is an apocalyptic number.

4936580909568 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 4936580909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970751831040).

4936580909568 is an abundant number, since it is smaller than the sum of its proper divisors (15004922752512).

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

4936580909568 is a wasteful number, since it uses less digits than its factorization.

4936580909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 4936580909568 in words is "four trillion, nine hundred thirty-six billion, five hundred eighty million, nine hundred nine thousand, five hundred sixty-eight".