4815672685824 has 1152 divisors, whose sum is σ = 18344583032832. Its totient is φ = 1079307141120.

The previous prime is 4815672685823. The next prime is 4815672685861. The reversal of 4815672685824 is 4285862765184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4815672685823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2051840619 + ... + 2051842965.

It is an arithmetic number, because the mean of its divisors is an integer number (15924117216).

Almost surely, 2^{4815672685824} is an apocalyptic number.

4815672685824 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 4815672685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172291516416).

4815672685824 is an abundant number, since it is smaller than the sum of its proper divisors (13528910347008).

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

4815672685824 is a wasteful number, since it uses less digits than its factorization.

4815672685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2557 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 66.

The spelling of 4815672685824 in words is "four trillion, eight hundred fifteen billion, six hundred seventy-two million, six hundred eighty-five thousand, eight hundred twenty-four".