37068046848 has 1200 divisors, whose sum is σ = 144781548120. Its totient is φ = 9364045824.

The previous prime is 37068046781. The next prime is 37068046849. The reversal of 37068046848 is 84864086073.

It can be written as a sum of positive squares in 4 ways, for example, as 37067030784 + 1016064 = 192528^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37068046794 and 37068046803.

It is not an unprimeable number, because it can be changed into a prime (37068046849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1001839086 + ... + 1001839122.

Almost surely, 2^37068046848 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 37068046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72390774060).

37068046848 is an abundant number, since it is smaller than the sum of its proper divisors (107713501272).

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

37068046848 is a wasteful number, since it uses less digits than its factorization.

37068046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 37068046848 in words is "thirty-seven billion, sixty-eight million, forty-six thousand, eight hundred forty-eight".