1676790612000 has 1536 divisors, whose sum is σ = 7303955742720. Its totient is φ = 365644800000.

The previous prime is 1676790611983. The next prime is 1676790612037. The reversal of 1676790612000 is 2160976761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1456811425 + ... + 1456812575.

It is an arithmetic number, because the mean of its divisors is an integer number (4755179520).

Almost surely, 2^{1676790612000} is an apocalyptic number.

1676790612000 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 1676790612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651977871360).

1676790612000 is an abundant number, since it is smaller than the sum of its proper divisors (5627165130720).

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

1676790612000 is a wasteful number, since it uses less digits than its factorization.

1676790612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1676790612000 in words is "one trillion, six hundred seventy-six billion, seven hundred ninety million, six hundred twelve thousand".