945784934640 has 2880 divisors, whose sum is σ = 4485827174400. Its totient is φ = 177526702080.

The previous prime is 945784934629. The next prime is 945784934641. The reversal of 945784934640 is 46439487549.

It is a happy number.

945784934640 is a `hidden beast` number, since 9 + 4 + 5 + 7 + 84 + 93 + 464 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945784934641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21994998459 + ... + 21994998501.

It is an arithmetic number, because the mean of its divisors is an integer number (1557578880).

Almost surely, 2^945784934640 is an apocalyptic number.

945784934640 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 945784934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242913587200).

945784934640 is an abundant number, since it is smaller than the sum of its proper divisors (3540042239760).

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

945784934640 is a wasteful number, since it uses less digits than its factorization.

945784934640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 945784934640 in words is "nine hundred forty-five billion, seven hundred eighty-four million, nine hundred thirty-four thousand, six hundred forty".