642773894400 has 648 divisors, whose sum is σ = 2512020157920. Its totient is φ = 155510784000.

The previous prime is 642773894381. The next prime is 642773894423. The reversal of 642773894400 is 4498377246.

642773894400 is a `hidden beast` number, since 64 + 27 + 73 + 8 + 94 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544261810 + ... + 544262990.

Almost surely, 2^642773894400 is an apocalyptic number.

642773894400 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 642773894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256010078960).

642773894400 is an abundant number, since it is smaller than the sum of its proper divisors (1869246263520).

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

642773894400 is a wasteful number, since it uses less digits than its factorization.

642773894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 642773894400 in words is "six hundred forty-two billion, seven hundred seventy-three million, eight hundred ninety-four thousand, four hundred".