7394133872160 has 1920 divisors, whose sum is σ = 32398135418880. Its totient is φ = 1550603575296.

The previous prime is 7394133872143. The next prime is 7394133872201. The reversal of 7394133872160 is 612783314937.

7394133872160 is a `hidden beast` number, since 7 + 3 + 9 + 41 + 3 + 387 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7394133872097 and 7394133872106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8668386294 + ... + 8668387146.

It is an arithmetic number, because the mean of its divisors is an integer number (16874028864).

Almost surely, 2^{7394133872160} is an apocalyptic number.

7394133872160 is a gapful number since it is divisible by the number (70) 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 7394133872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199067709440).

7394133872160 is an abundant number, since it is smaller than the sum of its proper divisors (25004001546720).

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

7394133872160 is a wasteful number, since it uses less digits than its factorization.

7394133872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7394133872160 in words is "seven trillion, three hundred ninety-four billion, one hundred thirty-three million, eight hundred seventy-two thousand, one hundred sixty".