676016966355120 has 3200 divisors, whose sum is σ = 2839886675619840. Its totient is φ = 147415999610880.

The previous prime is 676016966355119. The next prime is 676016966355197. The reversal of 676016966355120 is 21553669610676.

676016966355120 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 16 + 9 + 6 + 63 + 551 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 821405791029 + ... + 821405791851.

Almost surely, 2^{676016966355120} is an apocalyptic number.

676016966355120 is a gapful number since it is divisible by the number (60) 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 676016966355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419943337809920).

676016966355120 is an abundant number, since it is smaller than the sum of its proper divisors (2163869709264720).

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

676016966355120 is a wasteful number, since it uses less digits than its factorization.

676016966355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 676016966355120 in words is "six hundred seventy-six trillion, sixteen billion, nine hundred sixty-six million, three hundred fifty-five thousand, one hundred twenty".