147673909278720 has 1536 divisors, whose sum is σ = 589187121868800. Its totient is φ = 34777674547200.

The previous prime is 147673909278671. The next prime is 147673909278733. The reversal of 147673909278720 is 27872909376741.

147673909278720 is a `hidden beast` number, since 1 + 4 + 7 + 67 + 390 + 92 + 78 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×147673909278720³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 19582798150 + ... + 19582805690.

It is an arithmetic number, because the mean of its divisors is an integer number (383585365800).

Almost surely, 2^{147673909278720} is an apocalyptic number.

147673909278720 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 147673909278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294593560934400).

147673909278720 is an abundant number, since it is smaller than the sum of its proper divisors (441513212590080).

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

147673909278720 is a wasteful number, since it uses less digits than its factorization.

147673909278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 147673909278720 in words is "one hundred forty-seven trillion, six hundred seventy-three billion, nine hundred nine million, two hundred seventy-eight thousand, seven hundred twenty".