4876384468032 has 504 divisors, whose sum is σ = 17813786563872. Its totient is φ = 1261138636800.

The previous prime is 4876384467967. The next prime is 4876384468049. The reversal of 4876384468032 is 2308644836784.

It is a happy number.

4876384468032 is a `hidden beast` number, since 4 + 8 + 7 + 63 + 84 + 468 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72304407 + ... + 72371817.

Almost surely, 2^{4876384468032} is an apocalyptic number.

4876384468032 is a gapful number since it is divisible by the number (42) 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 4876384468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906893281936).

4876384468032 is an abundant number, since it is smaller than the sum of its proper divisors (12937402095840).

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

4876384468032 is a wasteful number, since it uses less digits than its factorization.

4876384468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67687 (or 67667 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 4876384468032 in words is "four trillion, eight hundred seventy-six billion, three hundred eighty-four million, four hundred sixty-eight thousand, thirty-two".