946287879264 has 576 divisors, whose sum is σ = 3522936473280. Its totient is φ = 244854005760.

The previous prime is 946287879247. The next prime is 946287879289. The reversal of 946287879264 is 462978782649.

946287879264 is a `hidden beast` number, since 9 + 4 + 6 + 287 + 87 + 9 + 264 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 946287879192 and 946287879201.

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 95 ways as a sum of consecutive naturals, for example, 29153284 + ... + 29185724.

It is an arithmetic number, because the mean of its divisors is an integer number (6116209155).

Almost surely, 2^946287879264 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 946287879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761468236640).

946287879264 is an abundant number, since it is smaller than the sum of its proper divisors (2576648594016).

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

946287879264 is a wasteful number, since it uses less digits than its factorization.

946287879264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32540 (or 32519 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 946287879264 in words is "nine hundred forty-six billion, two hundred eighty-seven million, eight hundred seventy-nine thousand, two hundred sixty-four".