7226049600 has 1260 divisors, whose sum is σ = 34405915440. Its totient is φ = 1422489600.

The previous prime is 7226049559. The next prime is 7226049601. The reversal of 7226049600 is 69406227.

It is a happy number.

7226049600 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7226049601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 380318391 + ... + 380318409.

Almost surely, 2^7226049600 is an apocalyptic number.

7226049600 is a gapful number since it is divisible by the number (70) 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 7226049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17202957720).

7226049600 is an abundant number, since it is smaller than the sum of its proper divisors (27179865840).

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

7226049600 is a wasteful number, since it uses less digits than its factorization.

7226049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7226049600 is about 85006.1738934296. The cubic root of 7226049600 is about 1933.3047267534.

The spelling of 7226049600 in words is "seven billion, two hundred twenty-six million, forty-nine thousand, six hundred".