5830655040 has 504 divisors, whose sum is σ = 23669792640. Its totient is φ = 1313335296.

The previous prime is 5830654993. The next prime is 5830655081. The reversal of 5830655040 is 405560385.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 5830654986 and 5830655004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11148219 + ... + 11148741.

Almost surely, 2^5830655040 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 5830655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834896320).

5830655040 is an abundant number, since it is smaller than the sum of its proper divisors (17839137600).

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

5830655040 is a wasteful number, since it uses less digits than its factorization.

5830655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5830655040 is about 76358.7260239457. The cubic root of 5830655040 is about 1799.8616189914.

The spelling of 5830655040 in words is "five billion, eight hundred thirty million, six hundred fifty-five thousand, forty".