7423520400 has 600 divisors, whose sum is σ = 29023737600. Its totient is φ = 1810252800.

The previous prime is 7423520389. The next prime is 7423520413. The reversal of 7423520400 is 40253247.

7423520400 is a `hidden beast` number, since 7 + 4 + 235 + 20 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 19083406 + ... + 19083794.

It is an arithmetic number, because the mean of its divisors is an integer number (48372896).

Almost surely, 2^7423520400 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 7423520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511868800).

7423520400 is an abundant number, since it is smaller than the sum of its proper divisors (21600217200).

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

7423520400 is a wasteful number, since it uses less digits than its factorization.

7423520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 7423520400 is about 86159.8537603216. The cubic root of 7423520400 is about 1950.7575754661.

Adding to 7423520400 its reverse (40253247), we get a palindrome (7463773647).

The spelling of 7423520400 in words is "seven billion, four hundred twenty-three million, five hundred twenty thousand, four hundred".