40682968767 has 48 divisors (see below), whose sum is σ = 72006439680. Its totient is φ = 22236599088.

The previous prime is 40682968751. The next prime is 40682968783. The reversal of 40682968767 is 76786928604.

40682968767 is a `hidden beast` number, since 406 + 8 + 2 + 96 + 87 + 67 = 666.

It is an interprime number because it is at equal distance from previous prime (40682968751) and next prime (40682968783).

It is not a de Polignac number, because 40682968767 - 2⁴ = 40682968751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40682968717) 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, 103473 + ... + 303434.

It is an arithmetic number, because the mean of its divisors is an integer number (1500134160).

Almost surely, 2^40682968767 is an apocalyptic number.

40682968767 is a deficient number, since it is larger than the sum of its proper divisors (31323470913).

40682968767 is a wasteful number, since it uses less digits than its factorization.

40682968767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406969 (or 406940 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 40682968767 in words is "forty billion, six hundred eighty-two million, nine hundred sixty-eight thousand, seven hundred sixty-seven".