4936796128000 has 576 divisors, whose sum is σ = 13967161528320. Its totient is φ = 1736824320000.

The previous prime is 4936796127973. The next prime is 4936796128051. The reversal of 4936796128000 is 8216976394.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1320350131 + ... + 1320353869.

It is an arithmetic number, because the mean of its divisors is an integer number (24248544320).

Almost surely, 2^{4936796128000} is an apocalyptic number.

4936796128000 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 4936796128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983580764160).

4936796128000 is an abundant number, since it is smaller than the sum of its proper divisors (9030365400320).

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

4936796128000 is an equidigital number, since it uses as much as digits as its factorization.

4936796128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 4936796128000 in words is "four trillion, nine hundred thirty-six billion, seven hundred ninety-six million, one hundred twenty-eight thousand".