486672779520 has 864 divisors, whose sum is σ = 1909204577280. Its totient is φ = 118165340160.

The previous prime is 486672779491. The next prime is 486672779539. The reversal of 486672779520 is 25977276684.

486672779520 is a `hidden beast` number, since 4 + 86 + 6 + 7 + 27 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163916596 + ... + 163919564.

It is an arithmetic number, because the mean of its divisors is an integer number (2209727520).

Almost surely, 2^486672779520 is an apocalyptic number.

486672779520 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 486672779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954602288640).

486672779520 is an abundant number, since it is smaller than the sum of its proper divisors (1422531797760).

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

486672779520 is a wasteful number, since it uses less digits than its factorization.

486672779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 486672779520 in words is "four hundred eighty-six billion, six hundred seventy-two million, seven hundred seventy-nine thousand, five hundred twenty".