1678637625 has 64 divisors (see below), whose sum is σ = 3204225024. Its totient is φ = 764510400.

The previous prime is 1678637561. The next prime is 1678637651. The reversal of 1678637625 is 5267368761.

1678637625 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1678637625 - 2⁶ = 1678637561 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804834 + ... + 806916.

It is an arithmetic number, because the mean of its divisors is an integer number (50066016).

Almost surely, 2^1678637625 is an apocalyptic number.

1678637625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1678637625 is a deficient number, since it is larger than the sum of its proper divisors (1525587399).

1678637625 is a wasteful number, since it uses less digits than its factorization.

1678637625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 1678637625 is about 40971.1804199000. The cubic root of 1678637625 is about 1188.4629603698.

The spelling of 1678637625 in words is "one billion, six hundred seventy-eight million, six hundred thirty-seven thousand, six hundred twenty-five".