676457328960 has 672 divisors, whose sum is σ = 2750993516544. Its totient is φ = 149299200000.

The previous prime is 676457328919. The next prime is 676457328973. The reversal of 676457328960 is 69823754676.

676457328960 is a `hidden beast` number, since 6 + 76 + 457 + 3 + 28 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375600060 + ... + 375601860.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740352).

Almost surely, 2^676457328960 is an apocalyptic number.

676457328960 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 676457328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375496758272).

676457328960 is an abundant number, since it is smaller than the sum of its proper divisors (2074536187584).

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

676457328960 is a wasteful number, since it uses less digits than its factorization.

676457328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 676457328960 in words is "six hundred seventy-six billion, four hundred fifty-seven million, three hundred twenty-eight thousand, nine hundred sixty".