52624321632 has 288 divisors, whose sum is σ = 159106042368. Its totient is φ = 16465287168.

The previous prime is 52624321597. The next prime is 52624321639. The reversal of 52624321632 is 23612342625.

52624321632 is a `hidden beast` number, since 5 + 2 + 62 + 432 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52624321639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93470983 + ... + 93471545.

It is an arithmetic number, because the mean of its divisors is an integer number (552451536).

Almost surely, 2^52624321632 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 52624321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79553021184).

52624321632 is an abundant number, since it is smaller than the sum of its proper divisors (106481720736).

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

52624321632 is a wasteful number, since it uses less digits than its factorization.

52624321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 52624321632 in words is "fifty-two billion, six hundred twenty-four million, three hundred twenty-one thousand, six hundred thirty-two".