966037847040 has 704 divisors, whose sum is σ = 3940930252800. Its totient is φ = 219832123392.

The previous prime is 966037846997. The next prime is 966037847209. The reversal of 966037847040 is 40748730669.

It is a happy number.

966037847040 is a `hidden beast` number, since 9 + 6 + 60 + 3 + 78 + 470 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231273432 + ... + 231277608.

Almost surely, 2^966037847040 is an apocalyptic number.

966037847040 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 966037847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970465126400).

966037847040 is an abundant number, since it is smaller than the sum of its proper divisors (2974892405760).

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

966037847040 is a wasteful number, since it uses less digits than its factorization.

966037847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 966037847040 in words is "nine hundred sixty-six billion, thirty-seven million, eight hundred forty-seven thousand, forty".