676038933120 has 512 divisors, whose sum is σ = 2351396044800. Its totient is φ = 164578590720.

The previous prime is 676038932977. The next prime is 676038933131. The reversal of 676038933120 is 21339830676.

676038933120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 676038933120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297420304 + ... + 297422576.

It is an arithmetic number, because the mean of its divisors is an integer number (4592570400).

Almost surely, 2^676038933120 is an apocalyptic number.

676038933120 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 676038933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175698022400).

676038933120 is an abundant number, since it is smaller than the sum of its proper divisors (1675357111680).

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

676038933120 is a wasteful number, since it uses less digits than its factorization.

676038933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 676038933120 in words is "six hundred seventy-six billion, thirty-eight million, nine hundred thirty-three thousand, one hundred twenty".