1673427201264 has 1920 divisors, whose sum is σ = 6831012787200. Its totient is φ = 386266890240.

The previous prime is 1673427201263. The next prime is 1673427201343. The reversal of 1673427201264 is 4621027243761.

1673427201264 is a `hidden beast` number, since 16 + 7 + 3 + 427 + 201 + 2 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673427201263) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5955256804 + ... + 5955257084.

It is an arithmetic number, because the mean of its divisors is an integer number (3557819160).

Almost surely, 2^{1673427201264} is an apocalyptic number.

1673427201264 is a gapful number since it is divisible by the number (14) 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 1673427201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415506393600).

1673427201264 is an abundant number, since it is smaller than the sum of its proper divisors (5157585585936).

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

1673427201264 is a wasteful number, since it uses less digits than its factorization.

1673427201264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1673427201264 in words is "one trillion, six hundred seventy-three billion, four hundred twenty-seven million, two hundred one thousand, two hundred sixty-four".