5672009708820 has 1008 divisors, whose sum is σ = 23550615325440. Its totient is φ = 1133710566912.

The previous prime is 5672009708773. The next prime is 5672009708837. The reversal of 5672009708820 is 288079002765.

It is a happy number.

5672009708820 is a `hidden beast` number, since 567 + 2 + 0 + 0 + 9 + 70 + 8 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 176445669 + ... + 176477811.

It is an arithmetic number, because the mean of its divisors is an integer number (23363705680).

Almost surely, 2^{5672009708820} 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 5672009708820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775307662720).

5672009708820 is an abundant number, since it is smaller than the sum of its proper divisors (17878605616620).

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

5672009708820 is a wasteful number, since it uses less digits than its factorization.

5672009708820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32216 (or 32192 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 5672009708820 in words is "five trillion, six hundred seventy-two billion, nine million, seven hundred eight thousand, eight hundred twenty".