37782166065 has 32 divisors (see below), whose sum is σ = 69438124800. Its totient is φ = 17184163584.

The previous prime is 37782166061. The next prime is 37782166073. The reversal of 37782166065 is 56066128773.

It is not a de Polignac number, because 37782166065 - 2² = 37782166061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37782165999 and 37782166017.

It is not an unprimeable number, because it can be changed into a prime (37782166061) by changing a digit.

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, 892590 + ... + 933959.

It is an arithmetic number, because the mean of its divisors is an integer number (2169941400).

Almost surely, 2^37782166065 is an apocalyptic number.

37782166065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37782166065 is a deficient number, since it is larger than the sum of its proper divisors (31655958735).

37782166065 is a wasteful number, since it uses less digits than its factorization.

37782166065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826761.

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 37782166065 in words is "thirty-seven billion, seven hundred eighty-two million, one hundred sixty-six thousand, sixty-five".