5940149760 has 240 divisors, whose sum is σ = 20663454240. Its totient is φ = 1577041920.

The previous prime is 5940149749. The next prime is 5940149807. The reversal of 5940149760 is 679410495.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7165026 + ... + 7165854.

It is an arithmetic number, because the mean of its divisors is an integer number (86097726).

Almost surely, 2^5940149760 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 5940149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331727120).

5940149760 is an abundant number, since it is smaller than the sum of its proper divisors (14723304480).

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

5940149760 is a wasteful number, since it uses less digits than its factorization.

5940149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5940149760 is about 77072.3670325494. The cubic root of 5940149760 is about 1811.0584409918.

The spelling of 5940149760 in words is "five billion, nine hundred forty million, one hundred forty-nine thousand, seven hundred sixty".