7738746518880 has 1440 divisors, whose sum is σ = 30710732532480. Its totient is φ = 1832458567680.

The previous prime is 7738746518879. The next prime is 7738746518887. The reversal of 7738746518880 is 888156478377.

It is a happy number.

7738746518880 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 7 + 465 + 1 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 7738746518799 and 7738746518808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7738746518887) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19893949726 + ... + 19893950114.

It is an arithmetic number, because the mean of its divisors is an integer number (21326897592).

Almost surely, 2^{7738746518880} 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 7738746518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355366266240).

7738746518880 is an abundant number, since it is smaller than the sum of its proper divisors (22971986013600).

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

7738746518880 is a wasteful number, since it uses less digits than its factorization.

7738746518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 7738746518880 in words is "seven trillion, seven hundred thirty-eight billion, seven hundred forty-six million, five hundred eighteen thousand, eight hundred eighty".