480296167596000 has 3840 divisors, whose sum is σ = 2099668386816000. Its totient is φ = 107467057152000.

The previous prime is 480296167595953. The next prime is 480296167596017. The reversal of 480296167596000 is 695761692084.

480296167596000 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 9 + 6 + 16 + 7 + 5 + 9 + 600 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 1992930155880 + ... + 1992930156120.

It is an arithmetic number, because the mean of its divisors is an integer number (546788642400).

Almost surely, 2^{480296167596000} is an apocalyptic number.

480296167596000 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 480296167596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049834193408000).

480296167596000 is an abundant number, since it is smaller than the sum of its proper divisors (1619372219220000).

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

480296167596000 is a wasteful number, since it uses less digits than its factorization.

480296167596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 480296167596000 in words is "four hundred eighty trillion, two hundred ninety-six billion, one hundred sixty-seven million, five hundred ninety-six thousand".