480834715898880 has 1760 divisors, whose sum is σ = 1989166830723072. Its totient is φ = 108795322368000.

The previous prime is 480834715898777. The next prime is 480834715898893. The reversal of 480834715898880 is 88898517438084.

480834715898880 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 3 + 471 + 58 + 98 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×480834715898880³ (a number of 45 digits) contains 333 as substring.

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 480834715898880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136329659677 + ... + 136329663203.

Almost surely, 2^{480834715898880} is an apocalyptic number.

480834715898880 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 480834715898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994583415361536).

480834715898880 is an abundant number, since it is smaller than the sum of its proper divisors (1508332114824192).

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

480834715898880 is a wasteful number, since it uses less digits than its factorization.

480834715898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 3963617280, while the sum is 81.

The spelling of 480834715898880 in words is "four hundred eighty trillion, eight hundred thirty-four billion, seven hundred fifteen million, eight hundred ninety-eight thousand, eight hundred eighty".