471640465296 has 960 divisors, whose sum is σ = 1878379776000. Its totient is φ = 107023887360.

The previous prime is 471640465249. The next prime is 471640465343. The reversal of 471640465296 is 692564046174.

471640465296 is a `hidden beast` number, since 4 + 71 + 6 + 4 + 0 + 46 + 529 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (471640465249) and next prime (471640465343).

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, 462845875 + ... + 462846893.

It is an arithmetic number, because the mean of its divisors is an integer number (1956645600).

Almost surely, 2^471640465296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471640465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939189888000).

471640465296 is an abundant number, since it is smaller than the sum of its proper divisors (1406739310704).

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

471640465296 is a wasteful number, since it uses less digits than its factorization.

471640465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 471640465296 in words is "four hundred seventy-one billion, six hundred forty million, four hundred sixty-five thousand, two hundred ninety-six".