642534788596896 has 384 divisors, whose sum is σ = 2083571848673280. Its totient is φ = 191302555852800.

The previous prime is 642534788596871. The next prime is 642534788596931. The reversal of 642534788596896 is 698695887435246.

642534788596896 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 3 + 4 + 7 + 8 + 8 + 596 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3022548466 + ... + 3022761038.

It is an arithmetic number, because the mean of its divisors is an integer number (5425968355920).

Almost surely, 2^{642534788596896} 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 642534788596896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041785924336640).

642534788596896 is an abundant number, since it is smaller than the sum of its proper divisors (1441037060076384).

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

642534788596896 is a wasteful number, since it uses less digits than its factorization.

642534788596896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221317 (or 221303 counting only the distinct ones).

The product of its digits is 150493593600, while the sum is 90.

The spelling of 642534788596896 in words is "six hundred forty-two trillion, five hundred thirty-four billion, seven hundred eighty-eight million, five hundred ninety-six thousand, eight hundred ninety-six".