42836693760 has 864 divisors, whose sum is σ = 178117430400. Its totient is φ = 9494102016.

The previous prime is 42836693737. The next prime is 42836693771. The reversal of 42836693760 is 6739663824.

42836693760 is a `hidden beast` number, since 428 + 3 + 66 + 93 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42836693697 and 42836693706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146200174 + ... + 146200466.

Almost surely, 2^42836693760 is an apocalyptic number.

42836693760 is a gapful number since it is divisible by the number (40) 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 42836693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89058715200).

42836693760 is an abundant number, since it is smaller than the sum of its proper divisors (135280736640).

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

42836693760 is a wasteful number, since it uses less digits than its factorization.

42836693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 42836693760 in words is "forty-two billion, eight hundred thirty-six million, six hundred ninety-three thousand, seven hundred sixty".