5612672077200 has 480 divisors, whose sum is σ = 20175639926400. Its totient is φ = 1481856122880.

The previous prime is 5612672077189. The next prime is 5612672077247. The reversal of 5612672077200 is 27702762165.

5612672077200 is a `hidden beast` number, since 5 + 612 + 6 + 7 + 2 + 0 + 7 + 7 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1485224911 + ... + 1485228689.

It is an arithmetic number, because the mean of its divisors is an integer number (42032583180).

Almost surely, 2^{5612672077200} is an apocalyptic number.

5612672077200 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 5612672077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087819963200).

5612672077200 is an abundant number, since it is smaller than the sum of its proper divisors (14562967849200).

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

5612672077200 is a wasteful number, since it uses less digits than its factorization.

5612672077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 5612672077200 in words is "five trillion, six hundred twelve billion, six hundred seventy-two million, seventy-seven thousand, two hundred".