7649722612224 has 1920 divisors, whose sum is σ = 30458590525440. Its totient is φ = 1863970652160.

The previous prime is 7649722612219. The next prime is 7649722612249. The reversal of 7649722612224 is 4222162279467.

7649722612224 is a `hidden beast` number, since 7 + 6 + 497 + 2 + 2 + 6 + 122 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24917663079 + ... + 24917663385.

It is an arithmetic number, because the mean of its divisors is an integer number (15863849232).

Almost surely, 2^{7649722612224} 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 7649722612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229295262720).

7649722612224 is an abundant number, since it is smaller than the sum of its proper divisors (22808867913216).

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

7649722612224 is an equidigital number, since it uses as much as digits as its factorization.

7649722612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 347 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 7649722612224 in words is "seven trillion, six hundred forty-nine billion, seven hundred twenty-two million, six hundred twelve thousand, two hundred twenty-four".