934283040768 has 1440 divisors, whose sum is σ = 3638629874880. Its totient is φ = 237027409920.

The previous prime is 934283040767. The next prime is 934283040773. The reversal of 934283040768 is 867040382439.

934283040768 is a `hidden beast` number, since 93 + 428 + 30 + 40 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934283040767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21727512555 + ... + 21727512597.

It is an arithmetic number, because the mean of its divisors is an integer number (2526826302).

Almost surely, 2^934283040768 is an apocalyptic number.

934283040768 is a gapful number since it is divisible by the number (98) 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 934283040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819314937440).

934283040768 is an abundant number, since it is smaller than the sum of its proper divisors (2704346834112).

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

934283040768 is an frugal number, since it uses more digits than its factorization.

934283040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 934283040768 in words is "nine hundred thirty-four billion, two hundred eighty-three million, forty thousand, seven hundred sixty-eight".