642212776800 has 1080 divisors, whose sum is σ = 2738472554664. Its totient is φ = 146034524160.

The previous prime is 642212776781. The next prime is 642212776819. The reversal of 642212776800 is 8677212246.

It is a happy number.

642212776800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642212776781) and next prime (642212776819).

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 816026007 + ... + 816026793.

Almost surely, 2^642212776800 is an apocalyptic number.

642212776800 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 642212776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369236277332).

642212776800 is an abundant number, since it is smaller than the sum of its proper divisors (2096259777864).

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

642212776800 is a wasteful number, since it uses less digits than its factorization.

642212776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 642212776800 in words is "six hundred forty-two billion, two hundred twelve million, seven hundred seventy-six thousand, eight hundred".