37680680905 has 32 divisors (see below), whose sum is σ = 52902190080. Its totient is φ = 25227901440.

The previous prime is 37680680887. The next prime is 37680680911. The reversal of 37680680905 is 50908608673.

It is not a de Polignac number, because 37680680905 - 2⁷ = 37680680777 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665341 + ... + 719749.

It is an arithmetic number, because the mean of its divisors is an integer number (1653193440).

Almost surely, 2^37680680905 is an apocalyptic number.

37680680905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37680680905 is a deficient number, since it is larger than the sum of its proper divisors (15221509175).

37680680905 is a wasteful number, since it uses less digits than its factorization.

37680680905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54889.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 37680680905 in words is "thirty-seven billion, six hundred eighty million, six hundred eighty thousand, nine hundred five".