934536778560 has 1792 divisors, whose sum is σ = 4582241280000. Its totient is φ = 173107445760.

The previous prime is 934536778537. The next prime is 934536778561. The reversal of 934536778560 is 65877635439.

934536778560 is a `hidden beast` number, since 9 + 3 + 4 + 5 + 3 + 67 + 7 + 8 + 560 = 666.

934536778560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (934536778561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214883266 + ... + 214887614.

Almost surely, 2^934536778560 is an apocalyptic number.

934536778560 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 934536778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291120640000).

934536778560 is an abundant number, since it is smaller than the sum of its proper divisors (3647704501440).

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

934536778560 is a wasteful number, since it uses less digits than its factorization.

934536778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 934536778560 in words is "nine hundred thirty-four billion, five hundred thirty-six million, seven hundred seventy-eight thousand, five hundred sixty".