1677708452480 has 128 divisors (see below), whose sum is σ = 4186330283520. Its totient is φ = 641725308928.

The previous prime is 1677708452479. The next prime is 1677708452513. The reversal of 1677708452480 is 842548077761.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59940569 + ... + 59968551.

It is an arithmetic number, because the mean of its divisors is an integer number (32705705340).

Almost surely, 2^{1677708452480} is an apocalyptic number.

1677708452480 is a gapful number since it is divisible by the number (10) 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 1677708452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093165141760).

1677708452480 is an abundant number, since it is smaller than the sum of its proper divisors (2508621831040).

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

1677708452480 is a wasteful number, since it uses less digits than its factorization.

1677708452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 59.

The spelling of 1677708452480 in words is "one trillion, six hundred seventy-seven billion, seven hundred eight million, four hundred fifty-two thousand, four hundred eighty".