472642076160 has 560 divisors, whose sum is σ = 1707532429680. Its totient is φ = 125411328000.

The previous prime is 472642076149. The next prime is 472642076161. The reversal of 472642076160 is 61670246274.

472642076160 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 4 + 20 + 7 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472642076161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 468425736 + ... + 468426744.

It is an arithmetic number, because the mean of its divisors is an integer number (3049165053).

Almost surely, 2^472642076160 is an apocalyptic number.

472642076160 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 472642076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853766214840).

472642076160 is an abundant number, since it is smaller than the sum of its proper divisors (1234890353520).

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

472642076160 is an equidigital number, since it uses as much as digits as its factorization.

472642076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 472642076160 in words is "four hundred seventy-two billion, six hundred forty-two million, seventy-six thousand, one hundred sixty".