7628687482752 has 576 divisors, whose sum is σ = 26568487895040. Its totient is φ = 2092644771840.

The previous prime is 7628687482729. The next prime is 7628687482763. The reversal of 7628687482752 is 2572847868267.

It is a happy number.

7628687482752 is a `hidden beast` number, since 7 + 6 + 286 + 8 + 74 + 8 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 222218613 + ... + 222252939.

It is an arithmetic number, because the mean of its divisors is an integer number (46125847040).

Almost surely, 2^{7628687482752} is an apocalyptic number.

7628687482752 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 7628687482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284243947520).

7628687482752 is an abundant number, since it is smaller than the sum of its proper divisors (18939800412288).

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

7628687482752 is a wasteful number, since it uses less digits than its factorization.

7628687482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34519 (or 34497 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 7628687482752 in words is "seven trillion, six hundred twenty-eight billion, six hundred eighty-seven million, four hundred eighty-two thousand, seven hundred fifty-two".