1676146546560 has 384 divisors, whose sum is σ = 5796326615040. Its totient is φ = 411722874880.

The previous prime is 1676146546549. The next prime is 1676146546573. The reversal of 1676146546560 is 656456416761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1676146546560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26047225 + ... + 26111495.

It is an arithmetic number, because the mean of its divisors is an integer number (15094600560).

Almost surely, 2^{1676146546560} is an apocalyptic number.

1676146546560 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 1676146546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898163307520).

1676146546560 is an abundant number, since it is smaller than the sum of its proper divisors (4120180068480).

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

1676146546560 is a wasteful number, since it uses less digits than its factorization.

1676146546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64374 (or 64345 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 1676146546560 in words is "one trillion, six hundred seventy-six billion, one hundred forty-six million, five hundred forty-six thousand, five hundred sixty".