7738554952128 has 672 divisors, whose sum is σ = 27753520596480. Its totient is φ = 1837833338880.

The previous prime is 7738554952099. The next prime is 7738554952147. The reversal of 7738554952128 is 8212594558377.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×7738554952128³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2283431458 + ... + 2283434846.

It is an arithmetic number, because the mean of its divisors is an integer number (41299881840).

Almost surely, 2^{7738554952128} is an apocalyptic number.

7738554952128 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 7738554952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876760298240).

7738554952128 is an abundant number, since it is smaller than the sum of its proper divisors (20014965644352).

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

7738554952128 is a wasteful number, since it uses less digits than its factorization.

7738554952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3534 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 66.

The spelling of 7738554952128 in words is "seven trillion, seven hundred thirty-eight billion, five hundred fifty-four million, nine hundred fifty-two thousand, one hundred twenty-eight".