5662006272 has 440 divisors, whose sum is σ = 18725137200. Its totient is φ = 1693384704.

The previous prime is 5662006267. The next prime is 5662006309. The reversal of 5662006272 is 2726002665.

5662006272 is a `hidden beast` number, since 5 + 6 + 6 + 20 + 0 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63618004 + ... + 63618092.

It is an arithmetic number, because the mean of its divisors is an integer number (42557130).

Almost surely, 2^5662006272 is an apocalyptic number.

5662006272 is a gapful number since it is divisible by the number (52) 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 5662006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362568600).

5662006272 is an abundant number, since it is smaller than the sum of its proper divisors (13063130928).

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

5662006272 is a wasteful number, since it uses less digits than its factorization.

5662006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5662006272 is about 75246.3040421256. The cubic root of 5662006272 is about 1782.3382006127.

The spelling of 5662006272 in words is "five billion, six hundred sixty-two million, six thousand, two hundred seventy-two".