947719968768 has 432 divisors, whose sum is σ = 2863800674280. Its totient is φ = 313528320000.

The previous prime is 947719968757. The next prime is 947719968809. The reversal of 947719968768 is 867869917749.

947719968768 is a `hidden beast` number, since 9 + 477 + 1 + 9 + 9 + 6 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3372668788 + ... + 3372669068.

Almost surely, 2^947719968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947719968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431900337140).

947719968768 is an abundant number, since it is smaller than the sum of its proper divisors (1916080705512).

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

947719968768 is an frugal number, since it uses more digits than its factorization.

947719968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 537 counting only the distinct ones).

The product of its digits is 2304433152, while the sum is 81.

The spelling of 947719968768 in words is "nine hundred forty-seven billion, seven hundred nineteen million, nine hundred sixty-eight thousand, seven hundred sixty-eight".