20016745632 has 576 divisors, whose sum is σ = 69126220800. Its totient is φ = 5434490880.

The previous prime is 20016745597. The next prime is 20016745643. The reversal of 20016745632 is 23654761002.

20016745632 is a `hidden beast` number, since 2 + 0 + 0 + 16 + 7 + 4 + 5 + 632 = 666.

It is a super-3 number, since 3×20016745632³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63951108 + ... + 63951420.

It is an arithmetic number, because the mean of its divisors is an integer number (120010800).

Almost surely, 2^20016745632 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 20016745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34563110400).

20016745632 is an abundant number, since it is smaller than the sum of its proper divisors (49109475168).

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

20016745632 is a wasteful number, since it uses less digits than its factorization.

20016745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20016745632 in words is "twenty billion, sixteen million, seven hundred forty-five thousand, six hundred thirty-two".