7699427029728 has 432 divisors, whose sum is σ = 26427244806144. Its totient is φ = 2198676130560.

The previous prime is 7699427029717. The next prime is 7699427029769. The reversal of 7699427029728 is 8279207249967.

7699427029728 is a `hidden beast` number, since 7 + 6 + 99 + 427 + 0 + 2 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7699427029728² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939982113 + ... + 939990303.

It is an arithmetic number, because the mean of its divisors is an integer number (61174177792).

Almost surely, 2^{7699427029728} 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 7699427029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213622403072).

7699427029728 is an abundant number, since it is smaller than the sum of its proper divisors (18727817776416).

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

7699427029728 is a wasteful number, since it uses less digits than its factorization.

7699427029728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 7699427029728 in words is "seven trillion, six hundred ninety-nine billion, four hundred twenty-seven million, twenty-nine thousand, seven hundred twenty-eight".