5942476800 has 612 divisors, whose sum is σ = 23664082624. Its totient is φ = 1415577600.

The previous prime is 5942476753. The next prime is 5942476807. The reversal of 5942476800 is 86742495.

It is a happy number.

It is a super-3 number, since 3×5942476800³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5942476807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191692785 + ... + 191692815.

Almost surely, 2^5942476800 is an apocalyptic number.

5942476800 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 5942476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832041312).

5942476800 is an abundant number, since it is smaller than the sum of its proper divisors (17721605824).

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

5942476800 is a wasteful number, since it uses less digits than its factorization.

5942476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5942476800 is about 77087.4620155574. The cubic root of 5942476800 is about 1811.2949027757.

The spelling of 5942476800 in words is "five billion, nine hundred forty-two million, four hundred seventy-six thousand, eight hundred".