472720795146 has 64 divisors (see below), whose sum is σ = 1087193030400. Its totient is φ = 152073028800.

The previous prime is 472720795139. The next prime is 472720795147. The reversal of 472720795146 is 641597027274.

472720795146 is a `hidden beast` number, since 472 + 7 + 20 + 7 + 9 + 5 + 146 = 666.

It is a super-2 number, since 2×472720795146² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 472720795092 and 472720795101.

It is not an unprimeable number, because it can be changed into a prime (472720795147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3553716 + ... + 3684336.

It is an arithmetic number, because the mean of its divisors is an integer number (16987391100).

Almost surely, 2^472720795146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472720795146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543596515200).

472720795146 is an abundant number, since it is smaller than the sum of its proper divisors (614472235254).

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

472720795146 is a wasteful number, since it uses less digits than its factorization.

472720795146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132972 (or 132966 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 472720795146 in words is "four hundred seventy-two billion, seven hundred twenty million, seven hundred ninety-five thousand, one hundred forty-six".