7228948446720 has 5760 divisors, whose sum is σ = 37680948264960. Its totient is φ = 1285645271040.

The previous prime is 7228948446691. The next prime is 7228948446791. The reversal of 7228948446720 is 276448498227.

7228948446720 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 94 + 84 + 467 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-3 number, since 3×7228948446720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 153807413737 + ... + 153807413783.

It is an arithmetic number, because the mean of its divisors is an integer number (6541831296).

Almost surely, 2^{7228948446720} is an apocalyptic number.

7228948446720 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 7228948446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840474132480).

7228948446720 is an abundant number, since it is smaller than the sum of its proper divisors (30451999818240).

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

7228948446720 is a wasteful number, since it uses less digits than its factorization.

7228948446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 7228948446720 in words is "seven trillion, two hundred twenty-eight billion, nine hundred forty-eight million, four hundred forty-six thousand, seven hundred twenty".