642358848000 has 320 divisors, whose sum is σ = 2140828335360. Its totient is φ = 170883072000.

The previous prime is 642358847953. The next prime is 642358848017. The reversal of 642358848000 is 848853246.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84284190 + ... + 84291810.

It is an arithmetic number, because the mean of its divisors is an integer number (6690088548).

Almost surely, 2^642358848000 is an apocalyptic number.

642358848000 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 642358848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070414167680).

642358848000 is an abundant number, since it is smaller than the sum of its proper divisors (1498469487360).

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

642358848000 is an equidigital number, since it uses as much as digits as its factorization.

642358848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 642358848000 in words is "six hundred forty-two billion, three hundred fifty-eight million, eight hundred forty-eight thousand".