7639121113248 has 192 divisors, whose sum is σ = 21260073203712. Its totient is φ = 2396907955200.

The previous prime is 7639121113241. The next prime is 7639121113291. The reversal of 7639121113248 is 8423111219367.

It is a super-2 number, since 2×7639121113248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7639121113197 and 7639121113206.

It is not an unprimeable number, because it can be changed into a prime (7639121113241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35567590 + ... + 35781722.

It is an arithmetic number, because the mean of its divisors is an integer number (110729547936).

Almost surely, 2^{7639121113248} 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 7639121113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630036601856).

7639121113248 is an abundant number, since it is smaller than the sum of its proper divisors (13620952090464).

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

7639121113248 is a wasteful number, since it uses less digits than its factorization.

7639121113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214427 (or 214419 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 7639121113248 in words is "seven trillion, six hundred thirty-nine billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred forty-eight".