7213328640 has 432 divisors, whose sum is σ = 29588028288. Its totient is φ = 1648263168.

The previous prime is 7213328623. The next prime is 7213328657. The reversal of 7213328640 is 468233127.

It is a happy number.

7213328640 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 3 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (7213328623) and next prime (7213328657).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7213328640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7213328595 and 7213328604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175624 + ... + 2178936.

Almost surely, 2^7213328640 is an apocalyptic number.

7213328640 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 7213328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794014144).

7213328640 is an abundant number, since it is smaller than the sum of its proper divisors (22374699648).

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

7213328640 is an equidigital number, since it uses as much as digits as its factorization.

7213328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7213328640 is about 84931.3171921877. The cubic root of 7213328640 is about 1932.1695773378.

The spelling of 7213328640 in words is "seven billion, two hundred thirteen million, three hundred twenty-eight thousand, six hundred forty".