69725388096 has 504 divisors, whose sum is σ = 251589418080. Its totient is φ = 18299602944.

The previous prime is 69725388091. The next prime is 69725388107. The reversal of 69725388096 is 69088352796.

69725388096 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 538 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69725388091) by changing a digit.

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, 112641675 + ... + 112642293.

Almost surely, 2^69725388096 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 69725388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125794709040).

69725388096 is an abundant number, since it is smaller than the sum of its proper divisors (181864029984).

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

69725388096 is a wasteful number, since it uses less digits than its factorization.

69725388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 69725388096 in words is "sixty-nine billion, seven hundred twenty-five million, three hundred eighty-eight thousand, ninety-six".