42737466668000 has 192 divisors, whose sum is σ = 113577182147520. Its totient is φ = 15711075072000.

The previous prime is 42737466667999. The next prime is 42737466668051. The reversal of 42737466668000 is 86666473724.

It is a super-2 number, since 2×42737466668000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10113515 + ... + 13702485.

It is an arithmetic number, because the mean of its divisors is an integer number (591547823685).

Almost surely, 2^{42737466668000} is an apocalyptic number.

42737466668000 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 42737466668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56788591073760).

42737466668000 is an abundant number, since it is smaller than the sum of its proper divisors (70839715479520).

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

42737466668000 is a wasteful number, since it uses less digits than its factorization.

42737466668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589238 (or 3589220 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 59.

The spelling of 42737466668000 in words is "forty-two trillion, seven hundred thirty-seven billion, four hundred sixty-six million, six hundred sixty-eight thousand".