7734868960 has 384 divisors, whose sum is σ = 23410114560. Its totient is φ = 2350301184.

The previous prime is 7734868891. The next prime is 7734868969. The reversal of 7734868960 is 698684377.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7734868895 and 7734868904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7734868969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60904417 + ... + 60904543.

It is an arithmetic number, because the mean of its divisors is an integer number (60963840).

Almost surely, 2^7734868960 is an apocalyptic number.

7734868960 is a gapful number since it is divisible by the number (70) 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 7734868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705057280).

7734868960 is an abundant number, since it is smaller than the sum of its proper divisors (15675245600).

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

7734868960 is a wasteful number, since it uses less digits than its factorization.

7734868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The square root of 7734868960 is about 87948.1037885411. The cubic root of 7734868960 is about 1977.6570729497.

The spelling of 7734868960 in words is "seven billion, seven hundred thirty-four million, eight hundred sixty-eight thousand, nine hundred sixty".