489378746400768 has 952 divisors, whose sum is σ = 1693491610656768. Its totient is φ = 138455252729856.

The previous prime is 489378746400701. The next prime is 489378746400769. The reversal of 489378746400768 is 867004647873984.

489378746400768 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 7 + 87 + 464 + 0 + 0 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489378746400769) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34446304321 + ... + 34446318527.

Almost surely, 2^{489378746400768} is an apocalyptic number.

489378746400768 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 489378746400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846745805328384).

489378746400768 is an abundant number, since it is smaller than the sum of its proper divisors (1204112864256000).

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

489378746400768 is an frugal number, since it uses more digits than its factorization.

489378746400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14367 (or 14322 counting only the distinct ones).

The product of its (nonzero) digits is 10924720128, while the sum is 81.

The spelling of 489378746400768 in words is "four hundred eighty-nine trillion, three hundred seventy-eight billion, seven hundred forty-six million, four hundred thousand, seven hundred sixty-eight".