4862466780864 has 1344 divisors, whose sum is σ = 18173063577600. Its totient is φ = 1129166438400.

The previous prime is 4862466780839. The next prime is 4862466780881. The reversal of 4862466780864 is 4680876642684.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3572715544 + ... + 3572716904.

Almost surely, 2^{4862466780864} is an apocalyptic number.

4862466780864 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 4862466780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086531788800).

4862466780864 is an abundant number, since it is smaller than the sum of its proper divisors (13310596796736).

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

4862466780864 is a wasteful number, since it uses less digits than its factorization.

4862466780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 69.

The spelling of 4862466780864 in words is "four trillion, eight hundred sixty-two billion, four hundred sixty-six million, seven hundred eighty thousand, eight hundred sixty-four".