37506920894016 has 336 divisors, whose sum is σ = 116689124203200. Its totient is φ = 10600411852800.

The previous prime is 37506920893973. The next prime is 37506920894017. The reversal of 37506920894016 is 61049802960573.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×37506920894016² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (37506920894017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1067066010 + ... + 1067101158.

It is a 1-persistent number, because it is pandigital, but 2⋅37506920894016 = 75013841788032 is not.

Almost surely, 2^{37506920894016} 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 37506920894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58344562101600).

37506920894016 is an abundant number, since it is smaller than the sum of its proper divisors (79182203309184).

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

37506920894016 is a wasteful number, since it uses less digits than its factorization.

37506920894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36402 (or 36385 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 37506920894016 in words is "thirty-seven trillion, five hundred six billion, nine hundred twenty million, eight hundred ninety-four thousand, sixteen".