20678045472 has 720 divisors, whose sum is σ = 76616455608. Its totient is φ = 5434490880.

The previous prime is 20678045471. The next prime is 20678045483. The reversal of 20678045472 is 27454087602.

It is a happy number.

20678045472 is a `hidden beast` number, since 2 + 0 + 67 + 80 + 45 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13031592336 + 7646453136 = 114156^2 + 87444^2 .

It is a super-4 number, since 4×20678045472⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20678045471) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131707218 + ... + 131707374.

Almost surely, 2^20678045472 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 20678045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308227804).

20678045472 is an abundant number, since it is smaller than the sum of its proper divisors (55938410136).

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

20678045472 is a wasteful number, since it uses less digits than its factorization.

20678045472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

It can be divided in two parts, 206780 and 45472, that added together give a palindrome (252252).

The spelling of 20678045472 in words is "twenty billion, six hundred seventy-eight million, forty-five thousand, four hundred seventy-two".