7735948668 has 144 divisors (see below), whose sum is σ = 23707966464. Its totient is φ = 2076295680.

The previous prime is 7735948613. The next prime is 7735948687. The reversal of 7735948668 is 8668495377.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770353 + ... + 2773143.

It is an arithmetic number, because the mean of its divisors is an integer number (164638656).

Almost surely, 2^7735948668 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 7735948668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853983232).

7735948668 is an abundant number, since it is smaller than the sum of its proper divisors (15972017796).

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

7735948668 is a wasteful number, since it uses less digits than its factorization.

7735948668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3467 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 7735948668 is about 87954.2418988419. The cubic root of 7735948668 is about 1977.7490888510.

The spelling of 7735948668 in words is "seven billion, seven hundred thirty-five million, nine hundred forty-eight thousand, six hundred sixty-eight".