4678597670400 has 720 divisors, whose sum is σ = 17473216054800. Its totient is φ = 1226164469760.

The previous prime is 4678597670389. The next prime is 4678597670401. The reversal of 4678597670400 is 40767958764.

4678597670400 is a `hidden beast` number, since 4 + 6 + 7 + 85 + 97 + 67 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×4678597670400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678597670401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203031656 + ... + 1203035544.

Almost surely, 2^{4678597670400} is an apocalyptic number.

4678597670400 is a gapful number since it is divisible by the number (40) 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 4678597670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736608027400).

4678597670400 is an abundant number, since it is smaller than the sum of its proper divisors (12794618384400).

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

4678597670400 is an equidigital number, since it uses as much as digits as its factorization.

4678597670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 4678597670400 in words is "four trillion, six hundred seventy-eight billion, five hundred ninety-seven million, six hundred seventy thousand, four hundred".