4576376486880 has 1152 divisors, whose sum is σ = 18209644992000. Its totient is φ = 1071941713920.

The previous prime is 4576376486861. The next prime is 4576376486893. The reversal of 4576376486880 is 886846736754.

It is a happy number.

4576376486880 is a `hidden beast` number, since 4 + 5 + 7 + 63 + 7 + 6 + 486 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4576376486799 and 4576376486808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2180264071 + ... + 2180266169.

It is an arithmetic number, because the mean of its divisors is an integer number (15806983500).

Almost surely, 2^{4576376486880} is an apocalyptic number.

4576376486880 is a gapful number since it is divisible by the number (40) 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 4576376486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104822496000).

4576376486880 is an abundant number, since it is smaller than the sum of its proper divisors (13633268505120).

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

4576376486880 is a wasteful number, since it uses less digits than its factorization.

4576376486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 4576376486880 in words is "four trillion, five hundred seventy-six billion, three hundred seventy-six million, four hundred eighty-six thousand, eight hundred eighty".