486376224768 has 576 divisors, whose sum is σ = 1700112960000. Its totient is φ = 130857762816.

The previous prime is 486376224757. The next prime is 486376224883. The reversal of 486376224768 is 867422673684.

It is a happy number.

486376224768 is a `hidden beast` number, since 48 + 63 + 7 + 62 + 2 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487839246 + ... + 487840242.

It is an arithmetic number, because the mean of its divisors is an integer number (2951585000).

Almost surely, 2^486376224768 is an apocalyptic number.

486376224768 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 486376224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850056480000).

486376224768 is an abundant number, since it is smaller than the sum of its proper divisors (1213736735232).

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

486376224768 is a wasteful number, since it uses less digits than its factorization.

486376224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1227 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 486376224768 in words is "four hundred eighty-six billion, three hundred seventy-six million, two hundred twenty-four thousand, seven hundred sixty-eight".