642229862400 has 1728 divisors, whose sum is σ = 2902111752960. Its totient is φ = 135895449600.

The previous prime is 642229862371. The next prime is 642229862419. The reversal of 642229862400 is 4268922246.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10528358370 + ... + 10528358430.

It is an arithmetic number, because the mean of its divisors is an integer number (1679462820).

Almost surely, 2^642229862400 is an apocalyptic number.

642229862400 is a gapful number since it is divisible by the number (60) 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 642229862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451055876480).

642229862400 is an abundant number, since it is smaller than the sum of its proper divisors (2259881890560).

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

642229862400 is an equidigital number, since it uses as much as digits as its factorization.

642229862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 642229862400 in words is "six hundred forty-two billion, two hundred twenty-nine million, eight hundred sixty-two thousand, four hundred".