479648185208640 has 2016 divisors, whose sum is σ = 2079471200911104. Its totient is φ = 103066612531200.

The previous prime is 479648185208597. The next prime is 479648185208651. The reversal of 479648185208640 is 46802581846974.

479648185208640 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 4 + 8 + 18 + 520 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 266323255740 + ... + 266323257540.

Almost surely, 2^{479648185208640} is an apocalyptic number.

479648185208640 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 479648185208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039735600455552).

479648185208640 is an abundant number, since it is smaller than the sum of its proper divisors (1599823015702464).

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

479648185208640 is a wasteful number, since it uses less digits than its factorization.

479648185208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 479648185208640 in words is "four hundred seventy-nine trillion, six hundred forty-eight billion, one hundred eighty-five million, two hundred eight thousand, six hundred forty".