5674620672 has 288 divisors, whose sum is σ = 20309184000. Its totient is φ = 1525727232.

The previous prime is 5674620671. The next prime is 5674620673. The reversal of 5674620672 is 2760264765.

5674620672 is a `hidden beast` number, since 567 + 4 + 6 + 20 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5674620671) and next prime (5674620673).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674620671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819079 + ... + 825977.

It is an arithmetic number, because the mean of its divisors is an integer number (70518000).

Almost surely, 2^5674620672 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 5674620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154592000).

5674620672 is an abundant number, since it is smaller than the sum of its proper divisors (14634563328).

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

5674620672 is a wasteful number, since it uses less digits than its factorization.

5674620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5674620672 is about 75330.0781361602. The cubic root of 5674620672 is about 1783.6608443196.

The spelling of 5674620672 in words is "five billion, six hundred seventy-four million, six hundred twenty thousand, six hundred seventy-two".