480642986880 has 1536 divisors, whose sum is σ = 2047897313280. Its totient is φ = 101567692800.

The previous prime is 480642986869. The next prime is 480642986951. The reversal of 480642986880 is 88689246084.

480642986880 is a `hidden beast` number, since 480 + 6 + 4 + 2 + 98 + 68 + 8 + 0 = 666.

It is a super-3 number, since 3×480642986880³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4253477704 + ... + 4253477816.

It is an arithmetic number, because the mean of its divisors is an integer number (1333266480).

Almost surely, 2^480642986880 is an apocalyptic number.

480642986880 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 480642986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023948656640).

480642986880 is an abundant number, since it is smaller than the sum of its proper divisors (1567254326400).

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

480642986880 is a wasteful number, since it uses less digits than its factorization.

480642986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 480642986880 in words is "four hundred eighty billion, six hundred forty-two million, nine hundred eighty-six thousand, eight hundred eighty".