52620632064 has 1344 divisors, whose sum is σ = 219835219968. Its totient is φ = 11678515200.

The previous prime is 52620632063. The next prime is 52620632111. The reversal of 52620632064 is 46023602625.

52620632064 is a `hidden beast` number, since 5 + 2 + 620 + 6 + 3 + 20 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (52620632063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1697439729 + ... + 1697439759.

It is an arithmetic number, because the mean of its divisors is an integer number (163567872).

Almost surely, 2^52620632064 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 52620632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109917609984).

52620632064 is an abundant number, since it is smaller than the sum of its proper divisors (167214587904).

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

52620632064 is a wasteful number, since it uses less digits than its factorization.

52620632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

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

The spelling of 52620632064 in words is "fifty-two billion, six hundred twenty million, six hundred thirty-two thousand, sixty-four".