470477159792640 has 6080 divisors, whose sum is σ = 2394147106391040. Its totient is φ = 85124909629440.

The previous prime is 470477159792623. The next prime is 470477159792663. The reversal of 470477159792640 is 46297951774074.

470477159792640 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 7 + 7 + 1 + 597 + 9 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2019215277964 + ... + 2019215278196.

Almost surely, 2^{470477159792640} is an apocalyptic number.

470477159792640 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 470477159792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197073553195520).

470477159792640 is an abundant number, since it is smaller than the sum of its proper divisors (1923669946598400).

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

470477159792640 is a wasteful number, since it uses less digits than its factorization.

470477159792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 470477159792640 in words is "four hundred seventy trillion, four hundred seventy-seven billion, one hundred fifty-nine million, seven hundred ninety-two thousand, six hundred forty".