7338786079680 has 1120 divisors, whose sum is σ = 29007463212288. Its totient is φ = 1753519104000.

The previous prime is 7338786079673. The next prime is 7338786079733. The reversal of 7338786079680 is 869706878337.

7338786079680 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 7 + 8 + 607 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×7338786079680² (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 = 7338786079599 and 7338786079608.

It is a congruent number.

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, 5057742955 + ... + 5057744405.

Almost surely, 2^{7338786079680} 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 7338786079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503731606144).

7338786079680 is an abundant number, since it is smaller than the sum of its proper divisors (21668677132608).

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

7338786079680 is an equidigital number, since it uses as much as digits as its factorization.

7338786079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 7338786079680 in words is "seven trillion, three hundred thirty-eight billion, seven hundred eighty-six million, seventy-nine thousand, six hundred eighty".