71780560470 has 96 divisors (see below), whose sum is σ = 197792419968. Its totient is φ = 17998669824.

The previous prime is 71780560463. The next prime is 71780560493. The reversal of 71780560470 is 7406508717.

71780560470 is a `hidden beast` number, since 7 + 1 + 7 + 80 + 560 + 4 + 7 + 0 = 666.

It is a super-2 number, since 2×71780560470² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657027 + ... + 1699793.

It is an arithmetic number, because the mean of its divisors is an integer number (2060337708).

Almost surely, 2^71780560470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71780560470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896209984).

71780560470 is an abundant number, since it is smaller than the sum of its proper divisors (126011859498).

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

71780560470 is a wasteful number, since it uses less digits than its factorization.

71780560470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43894 (or 43891 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

It can be divided in two parts, 71780 and 560470, that added together give a triangular number (632250 = T₁₁₂₄).

The spelling of 71780560470 in words is "seventy-one billion, seven hundred eighty million, five hundred sixty thousand, four hundred seventy".