7784282829960 has 768 divisors, whose sum is σ = 32679707074560. Its totient is φ = 1622594903040.

The previous prime is 7784282829959. The next prime is 7784282830003. The reversal of 7784282829960 is 699282824877.

7784282829960 is a `hidden beast` number, since 7 + 78 + 428 + 28 + 29 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73362145 + ... + 73468175.

It is an arithmetic number, because the mean of its divisors is an integer number (42551701920).

Almost surely, 2^{7784282829960} is an apocalyptic number.

7784282829960 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 7784282829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339853537280).

7784282829960 is an abundant number, since it is smaller than the sum of its proper divisors (24895424244600).

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

7784282829960 is a wasteful number, since it uses less digits than its factorization.

7784282829960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106160 (or 106144 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 7784282829960 in words is "seven trillion, seven hundred eighty-four billion, two hundred eighty-two million, eight hundred twenty-nine thousand, nine hundred sixty".