642363171840 has 528 divisors, whose sum is σ = 2474378489856. Its totient is φ = 153015091200.

The previous prime is 642363171839. The next prime is 642363171869. The reversal of 642363171840 is 48171363246.

642363171840 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 631 + 7 + 1 + 8 + 4 + 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 47 ways as a sum of consecutive naturals, for example, 18552945 + ... + 18587535.

Almost surely, 2^642363171840 is an apocalyptic number.

642363171840 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 642363171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237189244928).

642363171840 is an abundant number, since it is smaller than the sum of its proper divisors (1832015318016).

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

642363171840 is a wasteful number, since it uses less digits than its factorization.

642363171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34666 (or 34645 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 642363171840 in words is "six hundred forty-two billion, three hundred sixty-three million, one hundred seventy-one thousand, eight hundred forty".