470667707641560 has 512 divisors, whose sum is σ = 1786819169157120. Its totient is φ = 97495088486400.

The previous prime is 470667707641559. The next prime is 470667707641597. The reversal of 470667707641560 is 65146707766074.

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 = 470667707641491 and 470667707641500.

It is a congruent number.

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, 6999274 + ... + 31469433.

It is an arithmetic number, because the mean of its divisors is an integer number (3489881189760).

Almost surely, 2^{470667707641560} is an apocalyptic number.

470667707641560 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 470667707641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893409584578560).

470667707641560 is an abundant number, since it is smaller than the sum of its proper divisors (1316151461515560).

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

470667707641560 is a wasteful number, since it uses less digits than its factorization.

470667707641560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38468799 (or 38468795 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 66.

The spelling of 470667707641560 in words is "four hundred seventy trillion, six hundred sixty-seven billion, seven hundred seven million, six hundred forty-one thousand, five hundred sixty".