642323187792 has 1280 divisors, whose sum is σ = 2389180416000. Its totient is φ = 162250905600.

The previous prime is 642323187791. The next prime is 642323187797. The reversal of 642323187792 is 297781323246.

It is a happy number.

642323187792 is a `hidden beast` number, since 6 + 4 + 232 + 318 + 7 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642323187791) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4621030059 + ... + 4621030197.

It is an arithmetic number, because the mean of its divisors is an integer number (1866547200).

Almost surely, 2^642323187792 is an apocalyptic number.

642323187792 is a gapful number since it is divisible by the number (62) 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 642323187792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194590208000).

642323187792 is an abundant number, since it is smaller than the sum of its proper divisors (1746857228208).

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

642323187792 is a wasteful number, since it uses less digits than its factorization.

642323187792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 642323187792 in words is "six hundred forty-two billion, three hundred twenty-three million, one hundred eighty-seven thousand, seven hundred ninety-two".