7226150400 has 960 divisors, whose sum is σ = 31662259200. Its totient is φ = 1579253760.

The previous prime is 7226150369. The next prime is 7226150401. The reversal of 7226150400 is 40516227.

7226150400 is a `hidden beast` number, since 7 + 2 + 2 + 615 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7226150401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70156749 + ... + 70156851.

It is an arithmetic number, because the mean of its divisors is an integer number (32981520).

Almost surely, 2^7226150400 is an apocalyptic number.

7226150400 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 7226150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831129600).

7226150400 is an abundant number, since it is smaller than the sum of its proper divisors (24436108800).

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

7226150400 is a wasteful number, since it uses less digits than its factorization.

7226150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7226150400 is about 85006.7667894739. The cubic root of 7226150400 is about 1933.3137162760.

Adding to 7226150400 its reverse (40516227), we get a palindrome (7266666627).

The spelling of 7226150400 in words is "seven billion, two hundred twenty-six million, one hundred fifty thousand, four hundred".