676974827520 has 1536 divisors, whose sum is σ = 2694916224000. Its totient is φ = 162533081088.

The previous prime is 676974827513. The next prime is 676974827527. The reversal of 676974827520 is 25728479676.

676974827520 is a `hidden beast` number, since 6 + 7 + 69 + 7 + 48 + 2 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (676974827513) and next prime (676974827527).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676974827527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15743600619 + ... + 15743600661.

It is an arithmetic number, because the mean of its divisors is an integer number (1754502750).

Almost surely, 2^676974827520 is an apocalyptic number.

676974827520 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 676974827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347458112000).

676974827520 is an abundant number, since it is smaller than the sum of its proper divisors (2017941396480).

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

676974827520 is an equidigital number, since it uses as much as digits as its factorization.

676974827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 676974827520 in words is "six hundred seventy-six billion, nine hundred seventy-four million, eight hundred twenty-seven thousand, five hundred twenty".