676646464665600 has 5760 divisors, whose sum is σ = 3106554817766400. Its totient is φ = 143225310412800.

The previous prime is 676646464665517. The next prime is 676646464665739. The reversal of 676646464665600 is 6566464646676.

676646464665600 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 4 + 6 + 4 + 6 + 4 + 6 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1541335910181 + ... + 1541335910619.

It is an arithmetic number, because the mean of its divisors is an integer number (539332433640).

Almost surely, 2^{676646464665600} is an apocalyptic number.

676646464665600 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 676646464665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553277408883200).

676646464665600 is an abundant number, since it is smaller than the sum of its proper divisors (2429908353100800).

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

676646464665600 is a wasteful number, since it uses less digits than its factorization.

676646464665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 72.

The spelling of 676646464665600 in words is "six hundred seventy-six trillion, six hundred forty-six billion, four hundred sixty-four million, six hundred sixty-five thousand, six hundred".