947972735424 has 1344 divisors, whose sum is σ = 3542925754368. Its totient is φ = 247164825600.

The previous prime is 947972735387. The next prime is 947972735477. The reversal of 947972735424 is 424537279749.

947972735424 is a `hidden beast` number, since 9 + 4 + 79 + 72 + 73 + 5 + 424 = 666.

It is a super-2 number, since 2×947972735424² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 2199472489 + ... + 2199472919.

It is an arithmetic number, because the mean of its divisors is an integer number (2636105472).

Almost surely, 2^947972735424 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 947972735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771462877184).

947972735424 is an abundant number, since it is smaller than the sum of its proper divisors (2594953018944).

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

947972735424 is a wasteful number, since it uses less digits than its factorization.

947972735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 947972735424 in words is "nine hundred forty-seven billion, nine hundred seventy-two million, seven hundred thirty-five thousand, four hundred twenty-four".