7753628382192 has 960 divisors, whose sum is σ = 28050124677120. Its totient is φ = 1941556377600.

The previous prime is 7753628382163. The next prime is 7753628382193. The reversal of 7753628382192 is 2912838263577.

7753628382192 is a `hidden beast` number, since 7 + 7 + 5 + 3 + 62 + 8 + 382 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7753628382193) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6991548934 + ... + 6991550042.

It is an arithmetic number, because the mean of its divisors is an integer number (29218879872).

Almost surely, 2^{7753628382192} is an apocalyptic number.

7753628382192 is a gapful number since it is divisible by the number (72) 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 7753628382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025062338560).

7753628382192 is an abundant number, since it is smaller than the sum of its proper divisors (20296496294928).

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

7753628382192 is a wasteful number, since it uses less digits than its factorization.

7753628382192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1393 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 7753628382192 in words is "seven trillion, seven hundred fifty-three billion, six hundred twenty-eight million, three hundred eighty-two thousand, one hundred ninety-two".