468449815680 has 2304 divisors, whose sum is σ = 2190910550400. Its totient is φ = 91797995520.

The previous prime is 468449815663. The next prime is 468449815697. The reversal of 468449815680 is 86518944864.

468449815680 is a `hidden beast` number, since 4 + 6 + 84 + 498 + 1 + 5 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (468449815663) and next prime (468449815697).

It is a super-3 number, since 3×468449815680³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 287 ways as a sum of consecutive naturals, for example, 10894181739 + ... + 10894181781.

Almost surely, 2^468449815680 is an apocalyptic number.

468449815680 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 468449815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095455275200).

468449815680 is an abundant number, since it is smaller than the sum of its proper divisors (1722460734720).

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

468449815680 is a wasteful number, since it uses less digits than its factorization.

468449815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 468449815680 in words is "four hundred sixty-eight billion, four hundred forty-nine million, eight hundred fifteen thousand, six hundred eighty".