676335501803520 has 5120 divisors, whose sum is σ = 2978256215088000. Its totient is φ = 145005880541184.

The previous prime is 676335501803519. The next prime is 676335501803617. The reversal of 676335501803520 is 25308105533676.

676335501803520 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 3 + 5 + 501 + 80 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2953430138766 + ... + 2953430138994.

Almost surely, 2^{676335501803520} is an apocalyptic number.

676335501803520 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 676335501803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489128107544000).

676335501803520 is an abundant number, since it is smaller than the sum of its proper divisors (2301920713284480).

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

676335501803520 is a wasteful number, since it uses less digits than its factorization.

676335501803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 676335501803520 in words is "six hundred seventy-six trillion, three hundred thirty-five billion, five hundred one million, eight hundred three thousand, five hundred twenty".