488537626752 has 768 divisors, whose sum is σ = 1819688976000. Its totient is φ = 128136314880.

The previous prime is 488537626747. The next prime is 488537626789. The reversal of 488537626752 is 257626735884.

488537626752 is a `hidden beast` number, since 4 + 8 + 8 + 537 + 6 + 26 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 488537626752.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118030699 + ... + 118034837.

Almost surely, 2^488537626752 is an apocalyptic number.

488537626752 is a gapful number since it is divisible by the number (42) 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 488537626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909844488000).

488537626752 is an abundant number, since it is smaller than the sum of its proper divisors (1331151349248).

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

488537626752 is a wasteful number, since it uses less digits than its factorization.

488537626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4209 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 488537626752 in words is "four hundred eighty-eight billion, five hundred thirty-seven million, six hundred twenty-six thousand, seven hundred fifty-two".