20612195064 has 160 divisors (see below), whose sum is σ = 58329976320. Its totient is φ = 6828268896.

The previous prime is 20612195041. The next prime is 20612195069. The reversal of 20612195064 is 46059121602.

20612195064 is a `hidden beast` number, since 20 + 6 + 121 + 9 + 506 + 4 = 666.

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 (20612195069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35114179 + ... + 35114765.

It is an arithmetic number, because the mean of its divisors is an integer number (364562352).

Almost surely, 2^20612195064 is an apocalyptic number.

20612195064 is a gapful number since it is divisible by the number (24) 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 20612195064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164988160).

20612195064 is an abundant number, since it is smaller than the sum of its proper divisors (37717781256).

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

20612195064 is an frugal number, since it uses more digits than its factorization.

20612195064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20612195064 in words is "twenty billion, six hundred twelve million, one hundred ninety-five thousand, sixty-four".