642563177130 has 448 divisors, whose sum is σ = 2012313381120. Its totient is φ = 144635092992.

The previous prime is 642563177093. The next prime is 642563177203. The reversal of 642563177130 is 31771365246.

642563177130 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 631 + 7 + 7 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1113627402 + ... + 1113627978.

It is an arithmetic number, because the mean of its divisors is an integer number (4491770940).

Almost surely, 2^642563177130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642563177130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006156690560).

642563177130 is an abundant number, since it is smaller than the sum of its proper divisors (1369750203990).

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

642563177130 is a wasteful number, since it uses less digits than its factorization.

642563177130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 642563177130 in words is "six hundred forty-two billion, five hundred sixty-three million, one hundred seventy-seven thousand, one hundred thirty".