947915950760064 has 2304 divisors, whose sum is σ = 3420841803724800. Its totient is φ = 249765484953600.

The previous prime is 947915950759889. The next prime is 947915950760083. The reversal of 947915950760064 is 460067059519749.

It is a happy number.

947915950760064 is a `hidden beast` number, since 9 + 4 + 7 + 9 + 1 + 5 + 9 + 5 + 0 + 7 + 600 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 947915950759974 and 947915950760001.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1561640775249 + ... + 1561640775855.

It is an arithmetic number, because the mean of its divisors is an integer number (1484740366200).

Almost surely, 2^{947915950760064} 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 947915950760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710420901862400).

947915950760064 is an abundant number, since it is smaller than the sum of its proper divisors (2472925852964736).

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

947915950760064 is a wasteful number, since it uses less digits than its factorization.

947915950760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 947915950760064 in words is "nine hundred forty-seven trillion, nine hundred fifteen billion, nine hundred fifty million, seven hundred sixty thousand, sixty-four".