5629381632 has 704 divisors, whose sum is σ = 21223296000. Its totient is φ = 1436811264.

The previous prime is 5629381621. The next prime is 5629381643. The reversal of 5629381632 is 2361839265.

5629381632 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 3 + 8 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (5629381621) and next prime (5629381643).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95413219 + ... + 95413277.

Almost surely, 2^5629381632 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 5629381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648000).

5629381632 is an abundant number, since it is smaller than the sum of its proper divisors (15593914368).

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

5629381632 is a wasteful number, since it uses less digits than its factorization.

5629381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 5629381632 is about 75029.2051937111. The cubic root of 5629381632 is about 1778.9083100997.

The spelling of 5629381632 in words is "five billion, six hundred twenty-nine million, three hundred eighty-one thousand, six hundred thirty-two".