676006732800000 has 2688 divisors, whose sum is σ = 2953993492316160. Its totient is φ = 149498265600000.

The previous prime is 676006732799977. The next prime is 676006732800019. The reversal of 676006732800000 is 8237600676.

676006732800000 is a `hidden beast` number, since 6 + 7 + 600 + 6 + 7 + 32 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149990397747 + ... + 149990402253.

It is an arithmetic number, because the mean of its divisors is an integer number (1098955912320).

Almost surely, 2^{676006732800000} is an apocalyptic number.

676006732800000 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 676006732800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476996746158080).

676006732800000 is an abundant number, since it is smaller than the sum of its proper divisors (2277986759516160).

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

676006732800000 is an frugal number, since it uses more digits than its factorization.

676006732800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 676006732800000 in words is "six hundred seventy-six trillion, six billion, seven hundred thirty-two million, eight hundred thousand".