5632135416 has 96 divisors (see below), whose sum is σ = 15867437040. Its totient is φ = 1871589888.

The previous prime is 5632135367. The next prime is 5632135433. The reversal of 5632135416 is 6145312365.

5632135416 is a `hidden beast` number, since 5 + 632 + 1 + 3 + 5 + 4 + 16 = 666.

It is a super-2 number, since 2×5632135416² = 63441898688322986112, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 650830 + ... + 659426.

Almost surely, 2^5632135416 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 5632135416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933718520).

5632135416 is an abundant number, since it is smaller than the sum of its proper divisors (10235301624).

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

5632135416 is a wasteful number, since it uses less digits than its factorization.

5632135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8939 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5632135416 is about 75047.5543638832. The cubic root of 5632135416 is about 1779.1983319287.

The spelling of 5632135416 in words is "five billion, six hundred thirty-two million, one hundred thirty-five thousand, four hundred sixteen".