488337076656 has 240 divisors, whose sum is σ = 1610165505312. Its totient is φ = 136208793600.

The previous prime is 488337076651. The next prime is 488337076673. The reversal of 488337076656 is 656670733884.

488337076656 is a `hidden beast` number, since 488 + 3 + 37 + 0 + 76 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 488337076593 and 488337076602.

It is not an unprimeable number, because it can be changed into a prime (488337076651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7235386 + ... + 7302566.

Almost surely, 2^488337076656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488337076656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805082752656).

488337076656 is an abundant number, since it is smaller than the sum of its proper divisors (1121828428656).

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

488337076656 is a wasteful number, since it uses less digits than its factorization.

488337076656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67572 (or 67563 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 488337076656 in words is "four hundred eighty-eight billion, three hundred thirty-seven million, seventy-six thousand, six hundred fifty-six".