42692686848000 has 3360 divisors, whose sum is σ = 191534297834880. Its totient is φ = 9266901811200.

The previous prime is 42692686847983. The next prime is 42692686848013. The reversal of 42692686848000 is 84868629624.

42692686848000 is a `hidden beast` number, since 4 + 2 + 6 + 92 + 6 + 8 + 68 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 307141631931 + ... + 307141632069.

It is an arithmetic number, because the mean of its divisors is an integer number (57004255308).

Almost surely, 2^{42692686848000} is an apocalyptic number.

42692686848000 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 42692686848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95767148917440).

42692686848000 is an abundant number, since it is smaller than the sum of its proper divisors (148841610986880).

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

42692686848000 is an equidigital number, since it uses as much as digits as its factorization.

42692686848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 42692686848000 in words is "forty-two trillion, six hundred ninety-two billion, six hundred eighty-six million, eight hundred forty-eight thousand".