7648877160820 has 48 divisors (see below), whose sum is σ = 18359347684608. Its totient is φ = 2622180384000.

The previous prime is 7648877160809. The next prime is 7648877160833. The reversal of 7648877160820 is 280617788467.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774792 + ... + 4295071.

It is an arithmetic number, because the mean of its divisors is an integer number (382486410096).

Almost surely, 2^{7648877160820} is an apocalyptic number.

7648877160820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7648877160820 is an abundant number, since it is smaller than the sum of its proper divisors (10710470523788).

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

7648877160820 is a wasteful number, since it uses less digits than its factorization.

7648877160820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078880 (or 6078878 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 64.

The spelling of 7648877160820 in words is "seven trillion, six hundred forty-eight billion, eight hundred seventy-seven million, one hundred sixty thousand, eight hundred twenty".