479718929594880 has 1920 divisors, whose sum is σ = 1830746961838080. Its totient is φ = 115639277322240.

The previous prime is 479718929594837. The next prime is 479718929594881. The reversal of 479718929594880 is 88495929817974.

479718929594880 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 1 + 8 + 9 + 2 + 9 + 594 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (479718929594881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303044174569 + ... + 303044176151.

It is an arithmetic number, because the mean of its divisors is an integer number (953514042624).

Almost surely, 2^{479718929594880} is an apocalyptic number.

479718929594880 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 479718929594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915373480919040).

479718929594880 is an abundant number, since it is smaller than the sum of its proper divisors (1351028032243200).

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

479718929594880 is a wasteful number, since it uses less digits than its factorization.

479718929594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 26336378880, while the sum is 90.

The spelling of 479718929594880 in words is "four hundred seventy-nine trillion, seven hundred eighteen billion, nine hundred twenty-nine million, five hundred ninety-four thousand, eight hundred eighty".