842357762064 has 1800 divisors, whose sum is σ = 3436887659040. Its totient is φ = 198087192576.

The previous prime is 842357762021. The next prime is 842357762087. The reversal of 842357762064 is 460267753248.

842357762064 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 5 + 7 + 7 + 620 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 842357762064.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 44334619047 + ... + 44334619065.

Almost surely, 2^842357762064 is an apocalyptic number.

842357762064 is a gapful number since it is divisible by the number (84) 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 842357762064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718443829520).

842357762064 is an abundant number, since it is smaller than the sum of its proper divisors (2594529896976).

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

842357762064 is a wasteful number, since it uses less digits than its factorization.

842357762064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 842357762064 in words is "eight hundred forty-two billion, three hundred fifty-seven million, seven hundred sixty-two thousand, sixty-four".