472085777880 has 640 divisors, whose sum is σ = 1746704424960. Its totient is φ = 113840640000.

The previous prime is 472085777861. The next prime is 472085777881. The reversal of 472085777880 is 88777580274.

472085777880 is a `hidden beast` number, since 472 + 0 + 85 + 7 + 7 + 7 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472085777881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257828565 + ... + 257830395.

It is an arithmetic number, because the mean of its divisors is an integer number (2729225664).

Almost surely, 2^472085777880 is an apocalyptic number.

472085777880 is a gapful number since it is divisible by the number (40) 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 472085777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873352212480).

472085777880 is an abundant number, since it is smaller than the sum of its proper divisors (1274618647080).

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

472085777880 is a wasteful number, since it uses less digits than its factorization.

472085777880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 472085777880 in words is "four hundred seventy-two billion, eighty-five million, seven hundred seventy-seven thousand, eight hundred eighty".