934244720640 has 2688 divisors, whose sum is σ = 4451663204352. Its totient is φ = 182184837120.

The previous prime is 934244720567. The next prime is 934244720657. The reversal of 934244720640 is 46027442439.

934244720640 is a `hidden beast` number, since 93 + 42 + 447 + 20 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17627258854 + ... + 17627258906.

It is an arithmetic number, because the mean of its divisors is an integer number (1656124704).

Almost surely, 2^934244720640 is an apocalyptic number.

934244720640 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 934244720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225831602176).

934244720640 is an abundant number, since it is smaller than the sum of its proper divisors (3517418483712).

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

934244720640 is a wasteful number, since it uses less digits than its factorization.

934244720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 934244720640 in words is "nine hundred thirty-four billion, two hundred forty-four million, seven hundred twenty thousand, six hundred forty".