5780473920 has 336 divisors, whose sum is σ = 21555376752. Its totient is φ = 1413365760.

The previous prime is 5780473913. The next prime is 5780473967. The reversal of 5780473920 is 293740875.

5780473920 is a `hidden beast` number, since 578 + 0 + 4 + 73 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3420846144 + 2359627776 = 58488^2 + 48576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6776214 + ... + 6777066.

It is an arithmetic number, because the mean of its divisors is an integer number (64152907).

Almost surely, 2^5780473920 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 5780473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777688376).

5780473920 is an abundant number, since it is smaller than the sum of its proper divisors (15774902832).

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

5780473920 is a wasteful number, since it uses less digits than its factorization.

5780473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5780473920 is about 76029.4279868000. The cubic root of 5780473920 is about 1794.6832742177.

The spelling of 5780473920 in words is "five billion, seven hundred eighty million, four hundred seventy-three thousand, nine hundred twenty".