947280620160 has 1536 divisors, whose sum is σ = 4085529477120. Its totient is φ = 197512888320.

The previous prime is 947280620113. The next prime is 947280620179. The reversal of 947280620160 is 61026082749.

It is a happy number.

947280620160 is a `hidden beast` number, since 9 + 4 + 7 + 2 + 8 + 0 + 620 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2386097082 + ... + 2386097478.

It is an arithmetic number, because the mean of its divisors is an integer number (2659849920).

Almost surely, 2^947280620160 is an apocalyptic number.

947280620160 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 947280620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042764738560).

947280620160 is an abundant number, since it is smaller than the sum of its proper divisors (3138248856960).

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

947280620160 is a wasteful number, since it uses less digits than its factorization.

947280620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 947280620160 in words is "nine hundred forty-seven billion, two hundred eighty million, six hundred twenty thousand, one hundred sixty".