672678820800 has 3024 divisors, whose sum is σ = 3199433223168. Its totient is φ = 137952460800.

The previous prime is 672678820789. The next prime is 672678820823. The reversal of 672678820800 is 8028876276.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-3 number, since 3×672678820800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10039982367 + ... + 10039982433.

It is an arithmetic number, because the mean of its divisors is an integer number (1058013632).

Almost surely, 2^672678820800 is an apocalyptic number.

672678820800 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 672678820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599716611584).

672678820800 is an abundant number, since it is smaller than the sum of its proper divisors (2526754402368).

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

672678820800 is a wasteful number, since it uses less digits than its factorization.

672678820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 672678820800 in words is "six hundred seventy-two billion, six hundred seventy-eight million, eight hundred twenty thousand, eight hundred".