37298968428800 has 648 divisors, whose sum is σ = 106256738430360. Its totient is φ = 12911915827200.

The previous prime is 37298968428797. The next prime is 37298968428881. The reversal of 37298968428800 is 882486989273.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 29469089959936 + 7829878468864 = 5428544^2 + 2798192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4946153030 + ... + 4946160570.

It is an arithmetic number, because the mean of its divisors is an integer number (163976448195).

Almost surely, 2^{37298968428800} 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 37298968428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128369215180).

37298968428800 is an abundant number, since it is smaller than the sum of its proper divisors (68957770001560).

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

37298968428800 is a wasteful number, since it uses less digits than its factorization.

37298968428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 74.

The spelling of 37298968428800 in words is "thirty-seven trillion, two hundred ninety-eight billion, nine hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".