5739867463680 has 1176 divisors, whose sum is σ = 24030825950952. Its totient is φ = 1311635275776.

The previous prime is 5739867463609. The next prime is 5739867463717. The reversal of 5739867463680 is 863647689375.

5739867463680 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 86 + 7 + 463 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×5739867463680² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5739867463599 and 5739867463608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1463130199 + ... + 1463134121.

Almost surely, 2^{5739867463680} 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 5739867463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015412975476).

5739867463680 is an abundant number, since it is smaller than the sum of its proper divisors (18290958487272).

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

5739867463680 is an frugal number, since it uses more digits than its factorization.

5739867463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 5739867463680 in words is "five trillion, seven hundred thirty-nine billion, eight hundred sixty-seven million, four hundred sixty-three thousand, six hundred eighty".