4680446786400 has 2592 divisors, whose sum is σ = 21067447597056. Its totient is φ = 882376704000.

The previous prime is 4680446786381. The next prime is 4680446786401. The reversal of 4680446786400 is 46876440864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680446786401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18211855072 + ... + 18211855328.

Almost surely, 2^{4680446786400} is an apocalyptic number.

4680446786400 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 4680446786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533723798528).

4680446786400 is an abundant number, since it is smaller than the sum of its proper divisors (16387000810656).

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

4680446786400 is a wasteful number, since it uses less digits than its factorization.

4680446786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 4680446786400 in words is "four trillion, six hundred eighty billion, four hundred forty-six million, seven hundred eighty-six thousand, four hundred".