946780964640 has 1152 divisors, whose sum is σ = 4145701367808. Its totient is φ = 191739985920.

The previous prime is 946780964639. The next prime is 946780964669. The reversal of 946780964640 is 46469087649.

946780964640 is a `hidden beast` number, since 9 + 4 + 6 + 7 + 80 + 96 + 464 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196547512 + ... + 196552328.

It is an arithmetic number, because the mean of its divisors is an integer number (3598699104).

Almost surely, 2^946780964640 is an apocalyptic number.

946780964640 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 946780964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072850683904).

946780964640 is an abundant number, since it is smaller than the sum of its proper divisors (3198920403168).

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

946780964640 is a wasteful number, since it uses less digits than its factorization.

946780964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 946780964640 in words is "nine hundred forty-six billion, seven hundred eighty million, nine hundred sixty-four thousand, six hundred forty".