468644936320 has 256 divisors, whose sum is σ = 1261684512000. Its totient is φ = 164959027200.

The previous prime is 468644936303. The next prime is 468644936329. The reversal of 468644936320 is 23639446864.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (468644936329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51831000 + ... + 51840040.

It is an arithmetic number, because the mean of its divisors is an integer number (4928455125).

Almost surely, 2^468644936320 is an apocalyptic number.

468644936320 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 468644936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630842256000).

468644936320 is an abundant number, since it is smaller than the sum of its proper divisors (793039575680).

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

468644936320 is a wasteful number, since it uses less digits than its factorization.

468644936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9307 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 55.

The spelling of 468644936320 in words is "four hundred sixty-eight billion, six hundred forty-four million, nine hundred thirty-six thousand, three hundred twenty".