20667360240 has 480 divisors, whose sum is σ = 75588304896. Its totient is φ = 5045483520.

The previous prime is 20667360199. The next prime is 20667360247. The reversal of 20667360240 is 4206376602.

It is a happy number.

20667360240 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 7 + 3 + 602 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20667360195 and 20667360204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20667360247) 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, 65196562 + ... + 65196878.

Almost surely, 2^20667360240 is an apocalyptic number.

20667360240 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 20667360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37794152448).

20667360240 is an abundant number, since it is smaller than the sum of its proper divisors (54920944656).

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

20667360240 is a wasteful number, since it uses less digits than its factorization.

20667360240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20667360240 in words is "twenty billion, six hundred sixty-seven million, three hundred sixty thousand, two hundred forty".