84779766797748 has 96 divisors (see below), whose sum is σ = 220426379550720. Its totient is φ = 25140598842240.

The previous prime is 84779766797743. The next prime is 84779766797753.

84779766797748 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84779766797743) and next prime (84779766797753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84779766797741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42191790 + ... + 44155482.

It is an arithmetic number, because the mean of its divisors is an integer number (2296108120320).

Almost surely, 2^{84779766797748} 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 84779766797748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110213189775360).

84779766797748 is an abundant number, since it is smaller than the sum of its proper divisors (135646612752972).

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

84779766797748 is a wasteful number, since it uses less digits than its factorization.

84779766797748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970717 (or 1970715 counting only the distinct ones).

The product of its digits is 351298031616, while the sum is 96.

The spelling of 84779766797748 in words is "eighty-four trillion, seven hundred seventy-nine billion, seven hundred sixty-six million, seven hundred ninety-seven thousand, seven hundred forty-eight".