5537143680768 has 720 divisors, whose sum is σ = 19555295316480. Its totient is φ = 1524736991232.

The previous prime is 5537143680709. The next prime is 5537143680779. The reversal of 5537143680768 is 8670863417355.

It is a happy number.

5537143680768 is a `hidden beast` number, since 5 + 53 + 7 + 1 + 436 + 80 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3733744155 + ... + 3733745637.

It is an arithmetic number, because the mean of its divisors is an integer number (27160132384).

Almost surely, 2^{5537143680768} is an apocalyptic number.

5537143680768 is a gapful number since it is divisible by the number (58) 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 5537143680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777647658240).

5537143680768 is an abundant number, since it is smaller than the sum of its proper divisors (14018151635712).

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

5537143680768 is a wasteful number, since it uses less digits than its factorization.

5537143680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 5537143680768 in words is "five trillion, five hundred thirty-seven billion, one hundred forty-three million, six hundred eighty thousand, seven hundred sixty-eight".