480693372544 has 256 divisors, whose sum is σ = 1274965401600. Its totient is φ = 174988800000.

The previous prime is 480693372539. The next prime is 480693372571. The reversal of 480693372544 is 445273396084.

It is a super-3 number, since 3×480693372544³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8833419 + ... + 8887669.

It is an arithmetic number, because the mean of its divisors is an integer number (4980333600).

Almost surely, 2^480693372544 is an apocalyptic number.

480693372544 is a gapful number since it is divisible by the number (44) 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 480693372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637482700800).

480693372544 is an abundant number, since it is smaller than the sum of its proper divisors (794272029056).

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

480693372544 is a wasteful number, since it uses less digits than its factorization.

480693372544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54343 (or 54331 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 480693372544 in words is "four hundred eighty billion, six hundred ninety-three million, three hundred seventy-two thousand, five hundred forty-four".