79445409120 has 1728 divisors, whose sum is σ = 379463325696. Its totient is φ = 15467397120.

The previous prime is 79445409119. The next prime is 79445409139. The reversal of 79445409120 is 2190454497.

79445409120 is a `hidden beast` number, since 7 + 94 + 4 + 540 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 356257329 + ... + 356257551.

It is an arithmetic number, because the mean of its divisors is an integer number (219596832).

Almost surely, 2^79445409120 is an apocalyptic number.

79445409120 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 79445409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189731662848).

79445409120 is an abundant number, since it is smaller than the sum of its proper divisors (300017916576).

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

79445409120 is a wasteful number, since it uses less digits than its factorization.

79445409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79445409120 in words is "seventy-nine billion, four hundred forty-five million, four hundred nine thousand, one hundred twenty".