7385388742368 has 1152 divisors, whose sum is σ = 29495281213440. Its totient is φ = 1774012907520.

The previous prime is 7385388742343. The next prime is 7385388742373. The reversal of 7385388742368 is 8632478835837.

7385388742368 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 388 + 7 + 4 + 236 + 8 = 666.

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 = 7385388742296 and 7385388742305.

It is a congruent number.

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, 290031205 + ... + 290056667.

It is an arithmetic number, because the mean of its divisors is an integer number (25603542720).

Almost surely, 2^{7385388742368} is an apocalyptic number.

7385388742368 is a gapful number since it is divisible by the number (78) 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 7385388742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747640606720).

7385388742368 is an abundant number, since it is smaller than the sum of its proper divisors (22109892471072).

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

7385388742368 is a wasteful number, since it uses less digits than its factorization.

7385388742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25557 (or 25536 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 7385388742368 in words is "seven trillion, three hundred eighty-five billion, three hundred eighty-eight million, seven hundred forty-two thousand, three hundred sixty-eight".