5662678032000 has 1536 divisors, whose sum is σ = 23133654835200. Its totient is φ = 1360364544000.

The previous prime is 5662678031999. The next prime is 5662678032007. The reversal of 5662678032000 is 2308762665.

It is a happy number.

5662678032000 is a `hidden beast` number, since 5 + 66 + 267 + 8 + 0 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662678032007) 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, 6638543574 + ... + 6638544426.

It is an arithmetic number, because the mean of its divisors is an integer number (15060973200).

Almost surely, 2^{5662678032000} is an apocalyptic number.

5662678032000 is a gapful number since it is divisible by the number (50) 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 5662678032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566827417600).

5662678032000 is an abundant number, since it is smaller than the sum of its proper divisors (17470976803200).

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

5662678032000 is a wasteful number, since it uses less digits than its factorization.

5662678032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5662678032000 in words is "five trillion, six hundred sixty-two billion, six hundred seventy-eight million, thirty-two thousand".