5736078766080 has 2496 divisors, whose sum is σ = 23982902012160. Its totient is φ = 1255673954304.

The previous prime is 5736078766073. The next prime is 5736078766081. The reversal of 5736078766080 is 806678706375.

5736078766080 is a `hidden beast` number, since 5 + 7 + 360 + 78 + 76 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×5736078766080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5736078765999 and 5736078766017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736078766081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59134832592 + ... + 59134832688.

It is an arithmetic number, because the mean of its divisors is an integer number (9608534460).

Almost surely, 2^{5736078766080} 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 5736078766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991451006080).

5736078766080 is an abundant number, since it is smaller than the sum of its proper divisors (18246823246080).

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

5736078766080 is a wasteful number, since it uses less digits than its factorization.

5736078766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5736078766080 in words is "five trillion, seven hundred thirty-six billion, seventy-eight million, seven hundred sixty-six thousand, eighty".