468197296519680 has 7680 divisors, whose sum is σ = 2266519333478400. Its totient is φ = 89904012853248.

The previous prime is 468197296519649. The next prime is 468197296519801. The reversal of 468197296519680 is 86915692791864.

468197296519680 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 9 + 7 + 2 + 96 + 519 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 468197296519680.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5260643781076 + ... + 5260643781164.

It is an arithmetic number, because the mean of its divisors is an integer number (295119704880).

Almost surely, 2^{468197296519680} is an apocalyptic number.

468197296519680 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 468197296519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133259666739200).

468197296519680 is an abundant number, since it is smaller than the sum of its proper divisors (1798322036958720).

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

468197296519680 is a wasteful number, since it uses less digits than its factorization.

468197296519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 468197296519680 in words is "four hundred sixty-eight trillion, one hundred ninety-seven billion, two hundred ninety-six million, five hundred nineteen thousand, six hundred eighty".