20460476160 has 864 divisors, whose sum is σ = 79343566848. Its totient is φ = 4849827840.

The previous prime is 20460476159. The next prime is 20460476177. The reversal of 20460476160 is 6167406402.

20460476160 is a `hidden beast` number, since 20 + 4 + 6 + 0 + 476 + 160 = 666.

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 95 ways as a sum of consecutive naturals, for example, 386046694 + ... + 386046746.

It is an arithmetic number, because the mean of its divisors is an integer number (91832832).

Almost surely, 2^20460476160 is an apocalyptic number.

20460476160 is a gapful number since it is divisible by the number (20) 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 20460476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39671783424).

20460476160 is an abundant number, since it is smaller than the sum of its proper divisors (58883090688).

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

20460476160 is a wasteful number, since it uses less digits than its factorization.

20460476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20460476160 in words is "twenty billion, four hundred sixty million, four hundred seventy-six thousand, one hundred sixty".