488078635968 has 672 divisors, whose sum is σ = 1862695710720. Its totient is φ = 118444032000.

The previous prime is 488078635873. The next prime is 488078635973. The reversal of 488078635968 is 869536870884.

488078635968 is a `hidden beast` number, since 488 + 0 + 7 + 86 + 3 + 5 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 488078635896 and 488078635905.

It is a congruent number.

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, 39866328 + ... + 39878568.

Almost surely, 2^488078635968 is an apocalyptic number.

488078635968 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 488078635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931347855360).

488078635968 is an abundant number, since it is smaller than the sum of its proper divisors (1374617074752).

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

488078635968 is a wasteful number, since it uses less digits than its factorization.

488078635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12337 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 488078635968 in words is "four hundred eighty-eight billion, seventy-eight million, six hundred thirty-five thousand, nine hundred sixty-eight".