37561647816 has 192 divisors, whose sum is σ = 127802188800. Its totient is φ = 9681609600.

The previous prime is 37561647793. The next prime is 37561647817. The reversal of 37561647816 is 61874616573.

37561647816 is a `hidden beast` number, since 3 + 7 + 5 + 616 + 4 + 7 + 8 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (37561647817) 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, 700405 + ... + 752123.

It is an arithmetic number, because the mean of its divisors is an integer number (665636400).

Almost surely, 2^37561647816 is an apocalyptic number.

37561647816 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 37561647816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63901094400).

37561647816 is an abundant number, since it is smaller than the sum of its proper divisors (90240540984).

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

37561647816 is a wasteful number, since it uses less digits than its factorization.

37561647816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51880 (or 51873 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 37561647816 in words is "thirty-seven billion, five hundred sixty-one million, six hundred forty-seven thousand, eight hundred sixteen".