5703820416 has 768 divisors, whose sum is σ = 21813442560. Its totient is φ = 1445216256.

The previous prime is 5703820403. The next prime is 5703820469. The reversal of 5703820416 is 6140283075.

5703820416 is a `hidden beast` number, since 570 + 3 + 82 + 0 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85131615 + ... + 85131681.

It is an arithmetic number, because the mean of its divisors is an integer number (28402920).

Almost surely, 2^5703820416 is an apocalyptic number.

5703820416 is a gapful number since it is divisible by the number (56) 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 5703820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906721280).

5703820416 is an abundant number, since it is smaller than the sum of its proper divisors (16109622144).

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

5703820416 is a wasteful number, since it uses less digits than its factorization.

5703820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5703820416 is about 75523.6414376320. The cubic root of 5703820416 is about 1786.7149904011.

The spelling of 5703820416 in words is "five billion, seven hundred three million, eight hundred twenty thousand, four hundred sixteen".