79429725144 has 256 divisors, whose sum is σ = 280936857600. Its totient is φ = 20191939200.

The previous prime is 79429725143. The next prime is 79429725149. The reversal of 79429725144 is 44152792497.

79429725144 is a `hidden beast` number, since 7 + 9 + 429 + 72 + 5 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79429725143) 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, 730899 + ... + 832509.

It is an arithmetic number, because the mean of its divisors is an integer number (1097409600).

Almost surely, 2^79429725144 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 79429725144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140468428800).

79429725144 is an abundant number, since it is smaller than the sum of its proper divisors (201507132456).

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

79429725144 is a wasteful number, since it uses less digits than its factorization.

79429725144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101691 (or 101681 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 79429725144 in words is "seventy-nine billion, four hundred twenty-nine million, seven hundred twenty-five thousand, one hundred forty-four".