1607640577667 has 8 divisors (see below), whose sum is σ = 1608286187136. Its totient is φ = 1606995104832.

The previous prime is 1607640577657. The next prime is 1607640577679. The reversal of 1607640577667 is 7667750467061.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1607640577667 - 2¹⁴ = 1607640561283 is a prime.

It is a super-2 number, since 2×1607640577667² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1607640577607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27885023 + ... + 27942615.

It is an arithmetic number, because the mean of its divisors is an integer number (201035773392).

Almost surely, 2^{1607640577667} is an apocalyptic number.

1607640577667 is a deficient number, since it is larger than the sum of its proper divisors (645609469).

1607640577667 is an equidigital number, since it uses as much as digits as its factorization.

1607640577667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68317.

The product of its (nonzero) digits is 62233920, while the sum is 62.

The spelling of 1607640577667 in words is "one trillion, six hundred seven billion, six hundred forty million, five hundred seventy-seven thousand, six hundred sixty-seven".