642957307776 has 384 divisors, whose sum is σ = 2259033004800. Its totient is φ = 171433304064.

The previous prime is 642957307711. The next prime is 642957307789. The reversal of 642957307776 is 677703759246.

642957307776 is a `hidden beast` number, since 6 + 429 + 5 + 73 + 0 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10234156 + ... + 10296788.

It is an arithmetic number, because the mean of its divisors is an integer number (5882898450).

Almost surely, 2^642957307776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642957307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129516502400).

642957307776 is an abundant number, since it is smaller than the sum of its proper divisors (1616075697024).

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

642957307776 is a wasteful number, since it uses less digits than its factorization.

642957307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62746 (or 62731 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 642957307776 in words is "six hundred forty-two billion, nine hundred fifty-seven million, three hundred seven thousand, seven hundred seventy-six".