37542917892168 has 192 divisors, whose sum is σ = 113282383032000. Its totient is φ = 11152709697024.

The previous prime is 37542917892163. The next prime is 37542917892187. The reversal of 37542917892168 is 86129871924573.

37542917892168 is a `hidden beast` number, since 3 + 7 + 5 + 429 + 178 + 9 + 21 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 37542917892096 and 37542917892105.

It is not an unprimeable number, because it can be changed into a prime (37542917892163) 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, 760523055 + ... + 760572417.

It is an arithmetic number, because the mean of its divisors is an integer number (590012411625).

Almost surely, 2^{37542917892168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37542917892168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56641191516000).

37542917892168 is an abundant number, since it is smaller than the sum of its proper divisors (75739465139832).

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

37542917892168 is a wasteful number, since it uses less digits than its factorization.

37542917892168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77436 (or 77429 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 37542917892168 in words is "thirty-seven trillion, five hundred forty-two billion, nine hundred seventeen million, eight hundred ninety-two thousand, one hundred sixty-eight".