7728380352000 has 4320 divisors, whose sum is σ = 37243610756352. Its totient is φ = 1532805120000.

The previous prime is 7728380351977. The next prime is 7728380352019. The reversal of 7728380352000 is 2530838277.

7728380352000 is a `hidden beast` number, since 77 + 28 + 38 + 0 + 3 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 105868223964 + ... + 105868224036.

Almost surely, 2^{7728380352000} is an apocalyptic number.

7728380352000 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 7728380352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18621805378176).

7728380352000 is an abundant number, since it is smaller than the sum of its proper divisors (29515230404352).

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

7728380352000 is a wasteful number, since it uses less digits than its factorization.

7728380352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7728380352000 in words is "seven trillion, seven hundred twenty-eight billion, three hundred eighty million, three hundred fifty-two thousand".