5777766616752 has 320 divisors, whose sum is σ = 18096175104000. Its totient is φ = 1754295708672.

The previous prime is 5777766616733. The next prime is 5777766616771. The reversal of 5777766616752 is 2576166677775.

It is an interprime number because it is at equal distance from previous prime (5777766616733) and next prime (5777766616771).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490265438 + ... + 1490269314.

It is an arithmetic number, because the mean of its divisors is an integer number (56550547200).

Almost surely, 2^{5777766616752} is an apocalyptic number.

5777766616752 is a gapful number since it is divisible by the number (52) 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 5777766616752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048087552000).

5777766616752 is an abundant number, since it is smaller than the sum of its proper divisors (12318408487248).

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

5777766616752 is a wasteful number, since it uses less digits than its factorization.

5777766616752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7333 counting only the distinct ones).

The product of its digits is 1089093600, while the sum is 72.

The spelling of 5777766616752 in words is "five trillion, seven hundred seventy-seven billion, seven hundred sixty-six million, six hundred sixteen thousand, seven hundred fifty-two".