1677082279968 has 72 divisors (see below), whose sum is σ = 4782947118768. Its totient is φ = 557416363392.

The previous prime is 1677082279931. The next prime is 1677082279969. The reversal of 1677082279968 is 8699722807761.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1677082279896 and 1677082279905.

It is not an unprimeable number, because it can be changed into a prime (1677082279969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8290846 + ... + 8490717.

It is an arithmetic number, because the mean of its divisors is an integer number (66429821094).

Almost surely, 2^{1677082279968} is an apocalyptic number.

1677082279968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1677082279968 is an abundant number, since it is smaller than the sum of its proper divisors (3105864838800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1677082279968 is a wasteful number, since it uses less digits than its factorization.

1677082279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16781926 (or 16781915 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 1677082279968 in words is "one trillion, six hundred seventy-seven billion, eighty-two million, two hundred seventy-nine thousand, nine hundred sixty-eight".