5662793662760 has 256 divisors, whose sum is σ = 14575583232000. Its totient is φ = 1964252759040.

The previous prime is 5662793662759. The next prime is 5662793662763. The reversal of 5662793662760 is 672663972665.

It is a super-2 number, since 2×5662793662760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (5662793662763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180448751 + ... + 180480129.

It is an arithmetic number, because the mean of its divisors is an integer number (56935872000).

Almost surely, 2^{5662793662760} 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 5662793662760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287791616000).

5662793662760 is an abundant number, since it is smaller than the sum of its proper divisors (8912789569240).

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

5662793662760 is a wasteful number, since it uses less digits than its factorization.

5662793662760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31696 (or 31692 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 65.

The spelling of 5662793662760 in words is "five trillion, six hundred sixty-two billion, seven hundred ninety-three million, six hundred sixty-two thousand, seven hundred sixty".