470134690560 has 864 divisors, whose sum is σ = 1751619437568. Its totient is φ = 116152565760.

The previous prime is 470134690547. The next prime is 470134690561. The reversal of 470134690560 is 65096431074.

470134690560 is a `hidden beast` number, since 4 + 70 + 13 + 4 + 6 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×470134690560² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (470134690561) 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 95 ways as a sum of consecutive naturals, for example, 1260414534 + ... + 1260414906.

It is an arithmetic number, because the mean of its divisors is an integer number (2027337312).

Almost surely, 2^470134690560 is an apocalyptic number.

470134690560 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 470134690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875809718784).

470134690560 is an abundant number, since it is smaller than the sum of its proper divisors (1281484747008).

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

470134690560 is a wasteful number, since it uses less digits than its factorization.

470134690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 470134690560 in words is "four hundred seventy billion, one hundred thirty-four million, six hundred ninety thousand, five hundred sixty".