480763309158720 has 336 divisors, whose sum is σ = 1972928343574080. Its totient is φ = 109888756282368.

The previous prime is 480763309158709. The next prime is 480763309158721. The reversal of 480763309158720 is 27851903367084.

480763309158720 is a `hidden beast` number, since 4 + 80 + 7 + 6 + 330 + 9 + 158 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×480763309158720³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480763309158721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567371554 + ... + 568218273.

It is a 2-persistent number, because it is pandigital, and so is 2⋅480763309158720 = 961526618317440, but 3⋅480763309158720 = 1442289927476160 is not.

Almost surely, 2^{480763309158720} is an apocalyptic number.

480763309158720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480763309158720 is an abundant number, since it is smaller than the sum of its proper divisors (1492165034415360).

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

480763309158720 is a wasteful number, since it uses less digits than its factorization.

480763309158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135589867 (or 1135589844 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 480763309158720 in words is "four hundred eighty trillion, seven hundred sixty-three billion, three hundred nine million, one hundred fifty-eight thousand, seven hundred twenty".