7761218385648 has 480 divisors, whose sum is σ = 27292259850240. Its totient is φ = 1876623759360.

The previous prime is 7761218385623. The next prime is 7761218385691. The reversal of 7761218385648 is 8465838121677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17793786 + ... + 18224742.

It is an arithmetic number, because the mean of its divisors is an integer number (56858874688).

Almost surely, 2^{7761218385648} is an apocalyptic number.

7761218385648 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 7761218385648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646129925120).

7761218385648 is an abundant number, since it is smaller than the sum of its proper divisors (19531041464592).

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

7761218385648 is a wasteful number, since it uses less digits than its factorization.

7761218385648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431045 (or 431032 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 7761218385648 in words is "seven trillion, seven hundred sixty-one billion, two hundred eighteen million, three hundred eighty-five thousand, six hundred forty-eight".