1677113004 has 144 divisors (see below), whose sum is σ = 4707255168. Its totient is φ = 463099392.

The previous prime is 1677113003. The next prime is 1677113021. The reversal of 1677113004 is 4003117761.

It is not an unprimeable number, because it can be changed into a prime (1677113003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856799 + ... + 2857385.

It is an arithmetic number, because the mean of its divisors is an integer number (32689272).

Almost surely, 2^1677113004 is an apocalyptic number.

1677113004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353627584).

1677113004 is an abundant number, since it is smaller than the sum of its proper divisors (3030142164).

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

1677113004 is a wasteful number, since it uses less digits than its factorization.

1677113004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1677113004 is about 40952.5701757533. The cubic root of 1677113004 is about 1188.1030446052.

The spelling of 1677113004 in words is "one billion, six hundred seventy-seven million, one hundred thirteen thousand, four".