7226012400 has 240 divisors, whose sum is σ = 23888768640. Its totient is φ = 1866009600.

The previous prime is 7226012399. The next prime is 7226012411. The reversal of 7226012400 is 42106227.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6759066 + ... + 6760134.

It is an arithmetic number, because the mean of its divisors is an integer number (99536536).

Almost surely, 2^7226012400 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 7226012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944384320).

7226012400 is an abundant number, since it is smaller than the sum of its proper divisors (16662756240).

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

7226012400 is a wasteful number, since it uses less digits than its factorization.

7226012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7226012400 is about 85005.9550855115. The cubic root of 7226012400 is about 1933.3014091703.

Adding to 7226012400 its reverse (42106227), we get a palindrome (7268118627).

The spelling of 7226012400 in words is "seven billion, two hundred twenty-six million, twelve thousand, four hundred".