37648344792672 has 216 divisors, whose sum is σ = 113746828877136. Its totient is φ = 11809573761024.

The previous prime is 37648344792659. The next prime is 37648344792673. The reversal of 37648344792672 is 27629744384673.

37648344792672 is a `hidden beast` number, since 3 + 7 + 6 + 4 + 83 + 4 + 479 + 2 + 6 + 72 = 666.

37648344792672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 37648344792672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37648344792673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 673069218 + ... + 673125150.

It is an arithmetic number, because the mean of its divisors is an integer number (526605689246).

Almost surely, 2^{37648344792672} is an apocalyptic number.

37648344792672 is a gapful number since it is divisible by the number (32) 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 37648344792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56873414438568).

37648344792672 is an abundant number, since it is smaller than the sum of its proper divisors (76098484084464).

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

37648344792672 is a wasteful number, since it uses less digits than its factorization.

37648344792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64070 (or 64042 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 72.

The spelling of 37648344792672 in words is "thirty-seven trillion, six hundred forty-eight billion, three hundred forty-four million, seven hundred ninety-two thousand, six hundred seventy-two".