5790061440 has 320 divisors, whose sum is σ = 21027805920. Its totient is φ = 1517875200.

The previous prime is 5790061427. The next prime is 5790061457. The reversal of 5790061440 is 441600975.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×5790061440² = 67049622957949747200, which contains 22 as substring.

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 = 5790061395 and 5790061404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3161325 + ... + 3163155.

Almost surely, 2^5790061440 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 5790061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513902960).

5790061440 is an abundant number, since it is smaller than the sum of its proper divisors (15237744480).

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

5790061440 is a wasteful number, since it uses less digits than its factorization.

5790061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5790061440 is about 76092.4532394639. The cubic root of 5790061440 is about 1795.6749493998.

The spelling of 5790061440 in words is "five billion, seven hundred ninety million, sixty-one thousand, four hundred forty".