947493106560 has 3840 divisors, whose sum is σ = 4941460339200. Its totient is φ = 166617907200.

The previous prime is 947493106543. The next prime is 947493106597. The reversal of 947493106560 is 65601394749.

947493106560 is a `hidden beast` number, since 9 + 4 + 7 + 49 + 31 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 947493106497 and 947493106506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30564293745 + ... + 30564293775.

It is an arithmetic number, because the mean of its divisors is an integer number (1286838630).

Almost surely, 2^947493106560 is an apocalyptic number.

947493106560 is a gapful number since it is divisible by the number (90) 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 947493106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470730169600).

947493106560 is an abundant number, since it is smaller than the sum of its proper divisors (3993967232640).

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

947493106560 is a wasteful number, since it uses less digits than its factorization.

947493106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 947493106560 in words is "nine hundred forty-seven billion, four hundred ninety-three million, one hundred six thousand, five hundred sixty".