672616627200 has 1584 divisors, whose sum is σ = 2900888527680. Its totient is φ = 145662935040.

The previous prime is 672616627183. The next prime is 672616627213. The reversal of 672616627200 is 2726616276.

672616627200 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 16 + 627 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×672616627200³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3414297502 + ... + 3414297698.

It is an arithmetic number, because the mean of its divisors is an integer number (1831369020).

Almost surely, 2^672616627200 is an apocalyptic number.

672616627200 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 672616627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450444263840).

672616627200 is an abundant number, since it is smaller than the sum of its proper divisors (2228271900480).

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

672616627200 is a wasteful number, since it uses less digits than its factorization.

672616627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

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

The spelling of 672616627200 in words is "six hundred seventy-two billion, six hundred sixteen million, six hundred twenty-seven thousand, two hundred".