946959775020 has 480 divisors, whose sum is σ = 3451206528000. Its totient is φ = 212881374720.

The previous prime is 946959774991. The next prime is 946959775033. The reversal of 946959775020 is 20577959649.

946959775020 is a `hidden beast` number, since 9 + 4 + 6 + 9 + 59 + 77 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 401763682 + ... + 401766038.

It is an arithmetic number, because the mean of its divisors is an integer number (7190013600).

Almost surely, 2^946959775020 is an apocalyptic number.

946959775020 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 946959775020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725603264000).

946959775020 is an abundant number, since it is smaller than the sum of its proper divisors (2504246752980).

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

946959775020 is a wasteful number, since it uses less digits than its factorization.

946959775020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 946959775020 in words is "nine hundred forty-six billion, nine hundred fifty-nine million, seven hundred seventy-five thousand, twenty".