488029764096 has 1200 divisors, whose sum is σ = 1791791603712. Its totient is φ = 131681894400.

The previous prime is 488029764073. The next prime is 488029764133. The reversal of 488029764096 is 690467920884.

488029764096 is a `hidden beast` number, since 488 + 0 + 2 + 9 + 7 + 64 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3842753985 + ... + 3842754111.

Almost surely, 2^488029764096 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 488029764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895895801856).

488029764096 is an abundant number, since it is smaller than the sum of its proper divisors (1303761839616).

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

488029764096 is a wasteful number, since it uses less digits than its factorization.

488029764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 488029764096 in words is "four hundred eighty-eight billion, twenty-nine million, seven hundred sixty-four thousand, ninety-six".