470379187998720 has 9984 divisors, whose sum is σ = 2423535361228800. Its totient is φ = 86149221580800.

The previous prime is 470379187998677. The next prime is 470379187998739. The reversal of 470379187998720 is 27899781973074.

470379187998720 is a `hidden beast` number, since 4 + 7 + 0 + 379 + 1 + 87 + 99 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9984).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 470379187998720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 10008067829737 + ... + 10008067829783.

It is an arithmetic number, because the mean of its divisors is an integer number (242741923200).

Almost surely, 2^{470379187998720} is an apocalyptic number.

470379187998720 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 470379187998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211767680614400).

470379187998720 is an abundant number, since it is smaller than the sum of its proper divisors (1953156173230080).

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

470379187998720 is a wasteful number, since it uses less digits than its factorization.

470379187998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688505344, while the sum is 81.

The spelling of 470379187998720 in words is "four hundred seventy trillion, three hundred seventy-nine billion, one hundred eighty-seven million, nine hundred ninety-eight thousand, seven hundred twenty".