67909507640721 has 48 divisors (see below), whose sum is σ = 104038676277120. Its totient is φ = 42592923394560.

The previous prime is 67909507640713. The next prime is 67909507640729. The reversal of 67909507640721 is 12704670590976.

67909507640721 is a `hidden beast` number, since 6 + 7 + 90 + 9 + 50 + 76 + 407 + 21 = 666.

67909507640721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67909507640713) and next prime (67909507640729).

It is not a de Polignac number, because 67909507640721 - 2³ = 67909507640713 is a prime.

It is a super-2 number, since 2×67909507640721² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67909507640729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344100745 + ... + 344298041.

It is an arithmetic number, because the mean of its divisors is an integer number (2167472422440).

Almost surely, 2^{67909507640721} is an apocalyptic number.

67909507640721 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67909507640721 is a deficient number, since it is larger than the sum of its proper divisors (36129168636399).

67909507640721 is a wasteful number, since it uses less digits than its factorization.

67909507640721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224646 (or 224643 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 67909507640721 in words is "sixty-seven trillion, nine hundred nine billion, five hundred seven million, six hundred forty thousand, seven hundred twenty-one".