5940480000 has 960 divisors, whose sum is σ = 25790244480. Its totient is φ = 1179648000.

The previous prime is 5940479999. The next prime is 5940480011. The reversal of 5940480000 is 840495.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5940480000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3400 × 520 × 3360.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349439992 + ... + 349440008.

It is an arithmetic number, because the mean of its divisors is an integer number (26864838).

Almost surely, 2^5940480000 is an apocalyptic number.

5940480000 is a gapful number since it is divisible by the number (50) 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 5940480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895122240).

5940480000 is an abundant number, since it is smaller than the sum of its proper divisors (19849764480).

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

5940480000 is a wasteful number, since it uses less digits than its factorization.

5940480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5940480000 is about 77074.5094048610. The cubic root of 5940480000 is about 1811.0920020343.

The spelling of 5940480000 in words is "five billion, nine hundred forty million, four hundred eighty thousand".