480642978816 has 1320 divisors, whose sum is σ = 1963892389536. Its totient is φ = 115099729920.

The previous prime is 480642978793. The next prime is 480642978833. The reversal of 480642978816 is 618879246084.

480642978816 is a `hidden beast` number, since 480 + 6 + 4 + 2 + 9 + 78 + 81 + 6 = 666.

It is a super-3 number, since 3×480642978816³ (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 119 ways as a sum of consecutive naturals, for example, 581188195 + ... + 581189021.

Almost surely, 2^480642978816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480642978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981946194768).

480642978816 is an abundant number, since it is smaller than the sum of its proper divisors (1483249410720).

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

480642978816 is a wasteful number, since it uses less digits than its factorization.

480642978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 480642978816 in words is "four hundred eighty billion, six hundred forty-two million, nine hundred seventy-eight thousand, eight hundred sixteen".