470935267968 has 384 divisors, whose sum is σ = 1441523160000. Its totient is φ = 135965491200.

The previous prime is 470935267963. The next prime is 470935267969. The reversal of 470935267968 is 869762539074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×470935267968³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 470935267899 and 470935267908.

It is not an unprimeable number, because it can be changed into a prime (470935267963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81913158 + ... + 81918906.

Almost surely, 2^470935267968 is an apocalyptic number.

470935267968 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 470935267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720761580000).

470935267968 is an abundant number, since it is smaller than the sum of its proper divisors (970587892032).

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

470935267968 is a wasteful number, since it uses less digits than its factorization.

470935267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 470935267968 in words is "four hundred seventy billion, nine hundred thirty-five million, two hundred sixty-seven thousand, nine hundred sixty-eight".