470301769728 has 640 divisors, whose sum is σ = 1701403941600. Its totient is φ = 126382768128.

The previous prime is 470301769703. The next prime is 470301769771. The reversal of 470301769728 is 827967103074.

470301769728 is a `hidden beast` number, since 470 + 30 + 1 + 76 + 9 + 72 + 8 = 666.

It is a super-3 number, since 3×470301769728³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315850008 + ... + 315851496.

Almost surely, 2^470301769728 is an apocalyptic number.

470301769728 is a gapful number since it is divisible by the number (48) 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 470301769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850701970800).

470301769728 is an abundant number, since it is smaller than the sum of its proper divisors (1231102171872).

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

470301769728 is an equidigital number, since it uses as much as digits as its factorization.

470301769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 470301769728 in words is "four hundred seventy billion, three hundred one million, seven hundred sixty-nine thousand, seven hundred twenty-eight".