7444274739768 has 192 divisors, whose sum is σ = 22505565981600. Its totient is φ = 2209147084800.

The previous prime is 7444274739763. The next prime is 7444274739791. The reversal of 7444274739768 is 8679374724447.

7444274739768 is a `hidden beast` number, since 7 + 4 + 4 + 4 + 2 + 7 + 473 + 97 + 68 = 666.

It is a super-2 number, since 2×7444274739768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7444274739696 and 7444274739705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444274739763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14941068 + ... + 15431268.

Almost surely, 2^{7444274739768} 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 7444274739768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252782990800).

7444274739768 is an abundant number, since it is smaller than the sum of its proper divisors (15061291241832).

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

7444274739768 is a wasteful number, since it uses less digits than its factorization.

7444274739768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490902 (or 490895 counting only the distinct ones).

The product of its digits is 1593188352, while the sum is 72.

The spelling of 7444274739768 in words is "seven trillion, four hundred forty-four billion, two hundred seventy-four million, seven hundred thirty-nine thousand, seven hundred sixty-eight".