76538349801048 has 128 divisors (see below), whose sum is σ = 199926066654720. Its totient is φ = 24371665274880.

The previous prime is 76538349801047. The next prime is 76538349801143. The reversal of 76538349801048 is 84010894383567.

It is a self number, because there is not a number n which added to its sum of digits gives 76538349801048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538349801047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4180815111 + ... + 4180833417.

It is an arithmetic number, because the mean of its divisors is an integer number (1561922395740).

Almost surely, 2^{76538349801048} 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 76538349801048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99963033327360).

76538349801048 is an abundant number, since it is smaller than the sum of its proper divisors (123387716853672).

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

76538349801048 is a wasteful number, since it uses less digits than its factorization.

76538349801048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27817 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 76538349801048 in words is "seventy-six trillion, five hundred thirty-eight billion, three hundred forty-nine million, eight hundred one thousand, forty-eight".