1677438961920 has 576 divisors, whose sum is σ = 6134807965440. Its totient is φ = 433708204032.

The previous prime is 1677438961903. The next prime is 1677438961999. The reversal of 1677438961920 is 291698347761.

1677438961920 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 4 + 3 + 8 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 392564904 + ... + 392569176.

Almost surely, 2^{1677438961920} is an apocalyptic number.

1677438961920 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 1677438961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067403982720).

1677438961920 is an abundant number, since it is smaller than the sum of its proper divisors (4457369003520).

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

1677438961920 is a wasteful number, since it uses less digits than its factorization.

1677438961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1677438961920 in words is "one trillion, six hundred seventy-seven billion, four hundred thirty-eight million, nine hundred sixty-one thousand, nine hundred twenty".