470977466319360 has 2560 divisors, whose sum is σ = 2343869022781440. Its totient is φ = 86409333964800.

The previous prime is 470977466319341. The next prime is 470977466319391. The reversal of 470977466319360 is 63913664779074.

470977466319360 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 77 + 466 + 3 + 1 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1591201780 + ... + 1591497740.

It is an arithmetic number, because the mean of its divisors is an integer number (915573837024).

Almost surely, 2^{470977466319360} is an apocalyptic number.

470977466319360 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 470977466319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171934511390720).

470977466319360 is an abundant number, since it is smaller than the sum of its proper divisors (1872891556462080).

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

470977466319360 is a wasteful number, since it uses less digits than its factorization.

470977466319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296047 (or 296025 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 470977466319360 in words is "four hundred seventy trillion, nine hundred seventy-seven billion, four hundred sixty-six million, three hundred nineteen thousand, three hundred sixty".