1672319260800 has 1920 divisors, whose sum is σ = 6817967640000. Its totient is φ = 402152325120.

The previous prime is 1672319260793. The next prime is 1672319260811. The reversal of 1672319260800 is 80629132761.

1672319260800 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 31 + 9 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 11223619126 + ... + 11223619274.

Almost surely, 2^{1672319260800} is an apocalyptic number.

1672319260800 is a gapful number since it is divisible by the number (10) 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 1672319260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408983820000).

1672319260800 is an abundant number, since it is smaller than the sum of its proper divisors (5145648379200).

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

1672319260800 is a wasteful number, since it uses less digits than its factorization.

1672319260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1672319260800 in words is "one trillion, six hundred seventy-two billion, three hundred nineteen million, two hundred sixty thousand, eight hundred".