472430935861764 has 288 divisors, whose sum is σ = 1352498104516608. Its totient is φ = 127618886630400.

The previous prime is 472430935861693. The next prime is 472430935861813. The reversal of 472430935861764 is 467168539034274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29396587 + ... + 42532589.

It is an arithmetic number, because the mean of its divisors is an integer number (4696173974016).

It is a 1-persistent number, because it is pandigital, but 2⋅472430935861764 = 944861871723528 is not.

Almost surely, 2^{472430935861764} is an apocalyptic number.

472430935861764 is a gapful number since it is divisible by the number (44) 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 472430935861764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676249052258304).

472430935861764 is an abundant number, since it is smaller than the sum of its proper divisors (880067168654844).

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

472430935861764 is a wasteful number, since it uses less digits than its factorization.

472430935861764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136127 (or 13136114 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 69.

The spelling of 472430935861764 in words is "four hundred seventy-two trillion, four hundred thirty billion, nine hundred thirty-five million, eight hundred sixty-one thousand, seven hundred sixty-four".