40075692673 has 32 divisors (see below), whose sum is σ = 43075337760. Its totient is φ = 37211166720.

The previous prime is 40075692661. The next prime is 40075692697. The reversal of 40075692673 is 37629657004.

It can be written as a sum of positive squares in 16 ways, for example, as 5439505009 + 34636187664 = 73753^2 + 186108^2 .

It is a de Polignac number, because none of the positive numbers 2^k-40075692673 is a prime.

It is a super-2 number, since 2×40075692673² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40075692623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39250903 + ... + 39251923.

It is an arithmetic number, because the mean of its divisors is an integer number (1346104305).

Almost surely, 2^40075692673 is an apocalyptic number.

It is an amenable number.

40075692673 is a deficient number, since it is larger than the sum of its proper divisors (2999645087).

40075692673 is a wasteful number, since it uses less digits than its factorization.

40075692673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477.

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 40075692673 in words is "forty billion, seventy-five million, six hundred ninety-two thousand, six hundred seventy-three".