471531991687680 has 1280 divisors, whose sum is σ = 2042125021347840. Its totient is φ = 89829413683200.

The previous prime is 471531991687633. The next prime is 471531991687703. The reversal of 471531991687680 is 86786199135174.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×471531991687680² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347634157 + ... + 348987923.

It is an arithmetic number, because the mean of its divisors is an integer number (1595410172928).

Almost surely, 2^{471531991687680} is an apocalyptic number.

471531991687680 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 471531991687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021062510673920).

471531991687680 is an abundant number, since it is smaller than the sum of its proper divisors (1570593029660160).

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

471531991687680 is a wasteful number, since it uses less digits than its factorization.

471531991687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353861 (or 1353845 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 75.

The spelling of 471531991687680 in words is "four hundred seventy-one trillion, five hundred thirty-one billion, nine hundred ninety-one million, six hundred eighty-seven thousand, six hundred eighty".