5632106040 has 512 divisors, whose sum is σ = 21714739200. Its totient is φ = 1285632000.

The previous prime is 5632106033. The next prime is 5632106041. The reversal of 5632106040 is 406012365.

5632106040 is a `hidden beast` number, since 56 + 3 + 2 + 1 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5632105995 and 5632106013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632106041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15099294 + ... + 15099666.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 2^5632106040 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 5632106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857369600).

5632106040 is an abundant number, since it is smaller than the sum of its proper divisors (16082633160).

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

5632106040 is a wasteful number, since it uses less digits than its factorization.

5632106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5632106040 is about 75047.3586477232. The cubic root of 5632106040 is about 1779.1952386187.

The spelling of 5632106040 in words is "five billion, six hundred thirty-two million, one hundred six thousand, forty".