5946540600 has 384 divisors, whose sum is σ = 24753415680. Its totient is φ = 1140480000.

The previous prime is 5946540553. The next prime is 5946540623. The reversal of 5946540600 is 60456495.

It is a super-2 number, since 2×5946540600² = 70722690214896720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595650 + ... + 605550.

It is an arithmetic number, because the mean of its divisors is an integer number (64462020).

Almost surely, 2^5946540600 is an apocalyptic number.

5946540600 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 5946540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376707840).

5946540600 is an abundant number, since it is smaller than the sum of its proper divisors (18806875080).

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

5946540600 is a wasteful number, since it uses less digits than its factorization.

5946540600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5946540600 is about 77113.8158827586. The cubic root of 5946540600 is about 1811.7076971494.

The spelling of 5946540600 in words is "five billion, nine hundred forty-six million, five hundred forty thousand, six hundred".