4486785367680 has 3072 divisors, whose sum is σ = 21881477376000. Its totient is φ = 855769743360.

The previous prime is 4486785367633. The next prime is 4486785367721. The reversal of 4486785367680 is 867635876844.

It is a happy number.

4486785367680 is a `hidden beast` number, since 4 + 4 + 8 + 6 + 7 + 8 + 536 + 7 + 6 + 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 = 4486785367599 and 4486785367608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6808475191 + ... + 6808475849.

It is an arithmetic number, because the mean of its divisors is an integer number (7122876750).

Almost surely, 2^{4486785367680} is an apocalyptic number.

4486785367680 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 4486785367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940738688000).

4486785367680 is an abundant number, since it is smaller than the sum of its proper divisors (17394692008320).

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

4486785367680 is a wasteful number, since it uses less digits than its factorization.

4486785367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 747 counting only the distinct ones).

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

The spelling of 4486785367680 in words is "four trillion, four hundred eighty-six billion, seven hundred eighty-five million, three hundred sixty-seven thousand, six hundred eighty".