7628066460160 has 160 divisors (see below), whose sum is σ = 18336645879552. Its totient is φ = 3043369697280.

The previous prime is 7628066460149. The next prime is 7628066460163. The reversal of 7628066460160 is 610646608267.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 7628066460098 and 7628066460107.

It is not an unprimeable number, because it can be changed into a prime (7628066460163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974646389 + ... + 1974650251.

Almost surely, 2^{7628066460160} 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 7628066460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168322939776).

7628066460160 is an abundant number, since it is smaller than the sum of its proper divisors (10708579419392).

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

7628066460160 is a wasteful number, since it uses less digits than its factorization.

7628066460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 7628066460160 in words is "seven trillion, six hundred twenty-eight billion, sixty-six million, four hundred sixty thousand, one hundred sixty".