8216053632 has 192 divisors, whose sum is σ = 24369705360. Its totient is φ = 2655313920.

The previous prime is 8216053627. The next prime is 8216053667. The reversal of 8216053632 is 2363506128.

It is a happy number.

8216053632 is a `hidden beast` number, since 8 + 2 + 16 + 0 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 9304263 + ... + 9305145.

Almost surely, 2^8216053632 is an apocalyptic number.

8216053632 is a gapful number since it is divisible by the number (82) 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 8216053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184852680).

8216053632 is an abundant number, since it is smaller than the sum of its proper divisors (16153651728).

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

8216053632 is a wasteful number, since it uses less digits than its factorization.

8216053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8216053632 is about 90642.4493932065. The cubic root of 8216053632 is about 2017.8447777517.

The spelling of 8216053632 in words is "eight billion, two hundred sixteen million, fifty-three thousand, six hundred thirty-two".