37968209760 has 192 divisors, whose sum is σ = 132955361280. Its totient is φ = 9044490240.

The previous prime is 37968209737. The next prime is 37968209843. The reversal of 37968209760 is 6790286973.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 37968209760.

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 31 ways as a sum of consecutive naturals, for example, 95301 + ... + 291579.

It is an arithmetic number, because the mean of its divisors is an integer number (692475840).

Almost surely, 2^37968209760 is an apocalyptic number.

37968209760 is a gapful number since it is divisible by the number (30) 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 37968209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66477680640).

37968209760 is an abundant number, since it is smaller than the sum of its proper divisors (94987151520).

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

37968209760 is a wasteful number, since it uses less digits than its factorization.

37968209760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196341 (or 196333 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 37968209760 in words is "thirty-seven billion, nine hundred sixty-eight million, two hundred nine thousand, seven hundred sixty".