37283395968 has 864 divisors, whose sum is σ = 143294402160. Its totient is φ = 9205346304.

The previous prime is 37283395967. The next prime is 37283396023. The reversal of 37283395968 is 86959338273.

37283395968 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 3 + 39 + 596 + 8 = 666.

It is a super-2 number, since 2×37283395968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37283395967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 793263721 + ... + 793263767.

Almost surely, 2^37283395968 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 37283395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71647201080).

37283395968 is an abundant number, since it is smaller than the sum of its proper divisors (106011006192).

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

37283395968 is a wasteful number, since it uses less digits than its factorization.

37283395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 95 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 37283395968 in words is "thirty-seven billion, two hundred eighty-three million, three hundred ninety-five thousand, nine hundred sixty-eight".