5706961920 has 616 divisors, whose sum is σ = 22552699680. Its totient is φ = 1373552640.

The previous prime is 5706961907. The next prime is 5706961921. The reversal of 5706961920 is 291696075.

It is a happy number.

5706961920 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 9 + 619 + 20 = 666.

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

It is a zygodrome in base 4 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5706961921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41057211 + ... + 41057349.

Almost surely, 2^5706961920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5706961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276349840).

5706961920 is an abundant number, since it is smaller than the sum of its proper divisors (16845737760).

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

5706961920 is a wasteful number, since it uses less digits than its factorization.

5706961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 5706961920 is about 75544.4367243545. The cubic root of 5706961920 is about 1787.0429543332.

The spelling of 5706961920 in words is "five billion, seven hundred six million, nine hundred sixty-one thousand, nine hundred twenty".