468320299776000 has 4608 divisors, whose sum is σ = 2171395665653760. Its totient is φ = 98226929664000.

The previous prime is 468320299775989. The next prime is 468320299776011. The reversal of 468320299776000 is 677992023864.

468320299776000 is a `hidden beast` number, since 468 + 3 + 2 + 0 + 29 + 97 + 7 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (468320299775989) and next prime (468320299776011).

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 303512831229 + ... + 303512832771.

It is an arithmetic number, because the mean of its divisors is an integer number (471223017720).

Almost surely, 2^{468320299776000} is an apocalyptic number.

468320299776000 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 468320299776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085697832826880).

468320299776000 is an abundant number, since it is smaller than the sum of its proper divisors (1703075365877760).

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

468320299776000 is a wasteful number, since it uses less digits than its factorization.

468320299776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 468320299776000 in words is "four hundred sixty-eight trillion, three hundred twenty billion, two hundred ninety-nine million, seven hundred seventy-six thousand".