480693657600 has 1008 divisors, whose sum is σ = 1925561881152. Its totient is φ = 118165340160.

The previous prime is 480693657571. The next prime is 480693657641. The reversal of 480693657600 is 6756396084.

480693657600 is a `hidden beast` number, since 4 + 8 + 0 + 69 + 3 + 6 + 576 + 0 + 0 = 666.

It is a super-3 number, since 3×480693657600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646962829 + ... + 646963571.

It is an arithmetic number, because the mean of its divisors is an integer number (1910279644).

Almost surely, 2^480693657600 is an apocalyptic number.

480693657600 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 480693657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962780940576).

480693657600 is an abundant number, since it is smaller than the sum of its proper divisors (1444868223552).

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

480693657600 is an equidigital number, since it uses as much as digits as its factorization.

480693657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 480693657600 in words is "four hundred eighty billion, six hundred ninety-three million, six hundred fifty-seven thousand, six hundred".