468335649600 has 3024 divisors, whose sum is σ = 2268879115776. Its totient is φ = 94058496000.

The previous prime is 468335649577. The next prime is 468335649601. The reversal of 468335649600 is 6946533864.

468335649600 is a `hidden beast` number, since 46 + 8 + 33 + 564 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468335649601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7677633570 + ... + 7677633630.

Almost surely, 2^468335649600 is an apocalyptic number.

468335649600 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 468335649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134439557888).

468335649600 is an abundant number, since it is smaller than the sum of its proper divisors (1800543466176).

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

468335649600 is a wasteful number, since it uses less digits than its factorization.

468335649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 468335649600 in words is "four hundred sixty-eight billion, three hundred thirty-five million, six hundred forty-nine thousand, six hundred".