1676423129472 has 1152 divisors, whose sum is σ = 6562517616000. Its totient is φ = 418727522304.

The previous prime is 1676423129467. The next prime is 1676423129531. The reversal of 1676423129472 is 2749213246761.

1676423129472 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 42 + 3 + 129 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543762043 + ... + 543765125.

It is an arithmetic number, because the mean of its divisors is an integer number (5696629875).

Almost surely, 2^{1676423129472} is an apocalyptic number.

1676423129472 is a gapful number since it is divisible by the number (12) 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 1676423129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281258808000).

1676423129472 is an abundant number, since it is smaller than the sum of its proper divisors (4886094486528).

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

1676423129472 is a wasteful number, since it uses less digits than its factorization.

1676423129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3127 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 1676423129472 in words is "one trillion, six hundred seventy-six billion, four hundred twenty-three million, one hundred twenty-nine thousand, four hundred seventy-two".