147724406968320 has 3640 divisors, whose sum is σ = 669848520922056. Its totient is φ = 31069904044032.

The previous prime is 147724406968277. The next prime is 147724406968331. The reversal of 147724406968320 is 23869604427741.

147724406968320 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 2 + 440 + 6 + 96 + 83 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3161682284544 + 144562724683776 = 1778112^2 + 12023424^2 .

It is a tau number, because it is divible by the number of its divisors (3640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 466007592802 + ... + 466007593118.

Almost surely, 2^{147724406968320} is an apocalyptic number.

147724406968320 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 147724406968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334924260461028).

147724406968320 is an abundant number, since it is smaller than the sum of its proper divisors (522124113953736).

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

147724406968320 is an frugal number, since it uses more digits than its factorization.

147724406968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 147724406968320 in words is "one hundred forty-seven trillion, seven hundred twenty-four billion, four hundred six million, nine hundred sixty-eight thousand, three hundred twenty".