5946420480 has 1296 divisors, whose sum is σ = 27631969344. Its totient is φ = 1073479680.

The previous prime is 5946420451. The next prime is 5946420499. The reversal of 5946420480 is 840246495.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349789432 + ... + 349789448.

It is an arithmetic number, because the mean of its divisors is an integer number (21320964).

Almost surely, 2^5946420480 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 5946420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815984672).

5946420480 is an abundant number, since it is smaller than the sum of its proper divisors (21685548864).

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

5946420480 is a wasteful number, since it uses less digits than its factorization.

5946420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5946420480 is about 77113.0370300639. The cubic root of 5946420480 is about 1811.6954982476.

It can be divided in two parts, 5946 and 420480, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 5946420480 in words is "five billion, nine hundred forty-six million, four hundred twenty thousand, four hundred eighty".