486779977684 has 192 divisors, whose sum is σ = 1158995980800. Its totient is φ = 172749957120.

The previous prime is 486779977657. The next prime is 486779977759.

486779977684 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 486779977598 and 486779977607.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 93662974 + ... + 93668170.

It is an arithmetic number, because the mean of its divisors is an integer number (6036437400).

Almost surely, 2^486779977684 is an apocalyptic number.

486779977684 is a gapful number since it is divisible by the number (44) 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 486779977684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579497990400).

486779977684 is an abundant number, since it is smaller than the sum of its proper divisors (672216003116).

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

486779977684 is a wasteful number, since it uses less digits than its factorization.

486779977684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5536 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 82.

The spelling of 486779977684 in words is "four hundred eighty-six billion, seven hundred seventy-nine million, nine hundred seventy-seven thousand, six hundred eighty-four".