945599783040 has 576 divisors, whose sum is σ = 3665593975680. Its totient is φ = 224351170560.

The previous prime is 945599782991. The next prime is 945599783083. The reversal of 945599783040 is 40387995549.

945599783040 is a `hidden beast` number, since 9 + 4 + 5 + 599 + 7 + 8 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32742687 + ... + 32771553.

It is an arithmetic number, because the mean of its divisors is an integer number (6363878430).

Almost surely, 2^945599783040 is an apocalyptic number.

945599783040 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 945599783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832796987840).

945599783040 is an abundant number, since it is smaller than the sum of its proper divisors (2719994192640).

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

945599783040 is a wasteful number, since it uses less digits than its factorization.

945599783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28961 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 945599783040 in words is "nine hundred forty-five billion, five hundred ninety-nine million, seven hundred eighty-three thousand, forty".