468213432960 has 512 divisors, whose sum is σ = 1841138449920. Its totient is φ = 98556641280.

The previous prime is 468213432943. The next prime is 468213432979. The reversal of 468213432960 is 69234312864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80543014 + ... + 80548826.

It is an arithmetic number, because the mean of its divisors is an integer number (3595973535).

Almost surely, 2^468213432960 is an apocalyptic number.

468213432960 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 468213432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920569224960).

468213432960 is an abundant number, since it is smaller than the sum of its proper divisors (1372925016960).

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

468213432960 is a wasteful number, since it uses less digits than its factorization.

468213432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 468213432960 in words is "four hundred sixty-eight billion, two hundred thirteen million, four hundred thirty-two thousand, nine hundred sixty".