5824769863936 has 243 divisors, whose sum is σ = 13063181832309. Its totient is φ = 2591240822784.

The previous prime is 5824769863933. The next prime is 5824769864009. The reversal of 5824769863936 is 6393689674285.

The square root of 5824769863936 is 2413456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4534855430400 + 1289914433536 = 2129520^2 + 1135744^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (5824769863933) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12472740375 + ... + 12472740841.

Almost surely, 2^{5824769863936} is an apocalyptic number.

5824769863936 is the 2413456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5824769863936

5824769863936 is an abundant number, since it is smaller than the sum of its proper divisors (7238411968373).

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

5824769863936 is an frugal number, since it uses more digits than its factorization.

5824769863936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 505 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 76.

The spelling of 5824769863936 in words is "five trillion, eight hundred twenty-four billion, seven hundred sixty-nine million, eight hundred sixty-three thousand, nine hundred thirty-six".