7341894338688 has 1280 divisors, whose sum is σ = 27888480829440. Its totient is φ = 1865135185920.

The previous prime is 7341894338617. The next prime is 7341894338699. The reversal of 7341894338688 is 8868334981437.

7341894338688 is a `hidden beast` number, since 7 + 3 + 4 + 189 + 433 + 8 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×7341894338688² (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 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 159 ways as a sum of consecutive naturals, for example, 8277219781 + ... + 8277220667.

It is an arithmetic number, because the mean of its divisors is an integer number (21787875648).

Almost surely, 2^{7341894338688} is an apocalyptic number.

7341894338688 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 7341894338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944240414720).

7341894338688 is an abundant number, since it is smaller than the sum of its proper divisors (20546586490752).

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

7341894338688 is a wasteful number, since it uses less digits than its factorization.

7341894338688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1226 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 7341894338688 in words is "seven trillion, three hundred forty-one billion, eight hundred ninety-four million, three hundred thirty-eight thousand, six hundred eighty-eight".