1676870760960 has 1120 divisors, whose sum is σ = 6411498477120. Its totient is φ = 420396687360.

The previous prime is 1676870760899. The next prime is 1676870760967. The reversal of 1676870760960 is 690670786761.

1676870760960 is a `hidden beast` number, since 16 + 7 + 6 + 8 + 7 + 0 + 7 + 609 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1676870760967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12800540095 + ... + 12800540225.

Almost surely, 2^{1676870760960} is an apocalyptic number.

1676870760960 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 1676870760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205749238560).

1676870760960 is an abundant number, since it is smaller than the sum of its proper divisors (4734627716160).

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

1676870760960 is an frugal number, since it uses more digits than its factorization.

1676870760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 1676870760960 in words is "one trillion, six hundred seventy-six billion, eight hundred seventy million, seven hundred sixty thousand, nine hundred sixty".