5972422400 has 216 divisors, whose sum is σ = 17480860320. Its totient is φ = 1976647680.

The previous prime is 5972422381. The next prime is 5972422403. The reversal of 5972422400 is 42242795.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296902 + ... + 1301498.

Almost surely, 2^5972422400 is an apocalyptic number.

5972422400 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 5972422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740430160).

5972422400 is an abundant number, since it is smaller than the sum of its proper divisors (11508437920).

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

5972422400 is a wasteful number, since it uses less digits than its factorization.

5972422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5972422400 is about 77281.4492617730. The cubic root of 5972422400 is about 1814.3323263166.

The spelling of 5972422400 in words is "five billion, nine hundred seventy-two million, four hundred twenty-two thousand, four hundred".