488567727648 has 576 divisors, whose sum is σ = 1947461927040. Its totient is φ = 117137664000.

The previous prime is 488567727647. The next prime is 488567727731. The reversal of 488567727648 is 846727765884.

488567727648 is a `hidden beast` number, since 488 + 5 + 6 + 7 + 72 + 76 + 4 + 8 = 666.

It is a super-2 number, since 2×488567727648² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (488567727643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6013698 + ... + 6094398.

It is an arithmetic number, because the mean of its divisors is an integer number (3381010290).

Almost surely, 2^488567727648 is an apocalyptic number.

488567727648 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 488567727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973730963520).

488567727648 is an abundant number, since it is smaller than the sum of its proper divisors (1458894199392).

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

488567727648 is a wasteful number, since it uses less digits than its factorization.

488567727648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80758 (or 80737 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 488567727648 in words is "four hundred eighty-eight billion, five hundred sixty-seven million, seven hundred twenty-seven thousand, six hundred forty-eight".