7829650971648 has 704 divisors, whose sum is σ = 26212892889600. Its totient is φ = 2288121937920.

The previous prime is 7829650971641. The next prime is 7829650971661. The reversal of 7829650971648 is 8461790569287.

7829650971648 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 6 + 509 + 71 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×7829650971648² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7829650971641) 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, 951004140 + ... + 951012372.

Almost surely, 2^{7829650971648} 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 7829650971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106446444800).

7829650971648 is an abundant number, since it is smaller than the sum of its proper divisors (18383241917952).

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

7829650971648 is a wasteful number, since it uses less digits than its factorization.

7829650971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 7829650971648 in words is "seven trillion, eight hundred twenty-nine billion, six hundred fifty million, nine hundred seventy-one thousand, six hundred forty-eight".