37445673407616 has 384 divisors, whose sum is σ = 111825503899200. Its totient is φ = 12013062856704.

The previous prime is 37445673407609. The next prime is 37445673407617. The reversal of 37445673407616 is 61670437654473.

37445673407616 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 5 + 6 + 7 + 3 + 4 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (37445673407617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21434271255 + ... + 21434273001.

Almost surely, 2^{37445673407616} is an apocalyptic number.

37445673407616 is a gapful number since it is divisible by the number (36) 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 37445673407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55912751949600).

37445673407616 is an abundant number, since it is smaller than the sum of its proper divisors (74379830491584).

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

37445673407616 is a wasteful number, since it uses less digits than its factorization.

37445673407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 37445673407616 in words is "thirty-seven trillion, four hundred forty-five billion, six hundred seventy-three million, four hundred seven thousand, six hundred sixteen".