4638519115776 has 2160 divisors, whose sum is σ = 18274360366080. Its totient is φ = 1163817123840.

The previous prime is 4638519115729. The next prime is 4638519115787. The reversal of 4638519115776 is 6775119158364.

4638519115776 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 51 + 9 + 1 + 1 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (38102400) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 78618968035 + ... + 78618968093.

Almost surely, 2^{4638519115776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638519115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137180183040).

4638519115776 is an abundant number, since it is smaller than the sum of its proper divisors (13635841250304).

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

4638519115776 is an equidigital number, since it uses as much as digits as its factorization.

4638519115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 4638519115776 in words is "four trillion, six hundred thirty-eight billion, five hundred nineteen million, one hundred fifteen thousand, seven hundred seventy-six".