471480740640 has 1152 divisors, whose sum is σ = 2078013450240. Its totient is φ = 94683561984.

The previous prime is 471480740611. The next prime is 471480740663. The reversal of 471480740640 is 46047084174.

It is a happy number.

471480740640 is a `hidden beast` number, since 4 + 71 + 480 + 7 + 40 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227877526 + ... + 227879594.

It is an arithmetic number, because the mean of its divisors is an integer number (1803831120).

Almost surely, 2^471480740640 is an apocalyptic number.

471480740640 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 471480740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039006725120).

471480740640 is an abundant number, since it is smaller than the sum of its proper divisors (1606532709600).

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

471480740640 is a wasteful number, since it uses less digits than its factorization.

471480740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 471480740640 in words is "four hundred seventy-one billion, four hundred eighty million, seven hundred forty thousand, six hundred forty".