1378505667 has 32 divisors (see below), whose sum is σ = 2391183360. Its totient is φ = 684969120.

The previous prime is 1378505657. The next prime is 1378505699. The reversal of 1378505667 is 7665058731.

It is not a de Polignac number, because 1378505667 - 2¹¹ = 1378503619 is a prime.

It is a super-4 number, since 4×1378505667⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1378505627) 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, 124417 + ... + 135042.

It is an arithmetic number, because the mean of its divisors is an integer number (74724480).

Almost surely, 2^1378505667 is an apocalyptic number.

1378505667 is a deficient number, since it is larger than the sum of its proper divisors (1012677693).

1378505667 is a wasteful number, since it uses less digits than its factorization.

1378505667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259503.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 1378505667 is about 37128.2327481393. The cubic root of 1378505667 is about 1112.9342776519.

The spelling of 1378505667 in words is "one billion, three hundred seventy-eight million, five hundred five thousand, six hundred sixty-seven".