1024742670336 has 720 divisors, whose sum is σ = 3908573585280. Its totient is φ = 250462863360.

The previous prime is 1024742670317. The next prime is 1024742670337. The reversal of 1024742670336 is 6330762474201.

1024742670336 is a `hidden beast` number, since 1 + 0 + 247 + 4 + 2 + 6 + 70 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1024742670291 and 1024742670300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024742670337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193017250 + ... + 193022558.

It is an arithmetic number, because the mean of its divisors is an integer number (5428574424).

Almost surely, 2^{1024742670336} is an apocalyptic number.

1024742670336 is a gapful number since it is divisible by the number (16) 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 1024742670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954286792640).

1024742670336 is an abundant number, since it is smaller than the sum of its proper divisors (2883830914944).

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

1024742670336 is a wasteful number, since it uses less digits than its factorization.

1024742670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 1024742670336 in words is "one trillion, twenty-four billion, seven hundred forty-two million, six hundred seventy thousand, three hundred thirty-six".