468752793600 has 960 divisors, whose sum is σ = 1922264467200. Its totient is φ = 98146713600.

The previous prime is 468752793583. The next prime is 468752793659. The reversal of 468752793600 is 6397257864.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3578265535 + ... + 3578265665.

It is an arithmetic number, because the mean of its divisors is an integer number (2002358820).

Almost surely, 2^468752793600 is an apocalyptic number.

468752793600 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 468752793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961132233600).

468752793600 is an abundant number, since it is smaller than the sum of its proper divisors (1453511673600).

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

468752793600 is an equidigital number, since it uses as much as digits as its factorization.

468752793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 468752793600 in words is "four hundred sixty-eight billion, seven hundred fifty-two million, seven hundred ninety-three thousand, six hundred".