79625846845440 has 3328 divisors, whose sum is σ = 343547053056000. Its totient is φ = 17698046607360.

The previous prime is 79625846845439. The next prime is 79625846845463. The reversal of 79625846845440 is 4454864852697.

79625846845440 is a `hidden beast` number, since 7 + 9 + 6 + 2 + 5 + 84 + 68 + 45 + 440 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1090765025244 + ... + 1090765025316.

Almost surely, 2^{79625846845440} is an apocalyptic number.

79625846845440 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 79625846845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171773526528000).

79625846845440 is an abundant number, since it is smaller than the sum of its proper divisors (263921206210560).

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

79625846845440 is an frugal number, since it uses more digits than its factorization.

79625846845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 79625846845440 in words is "seventy-nine trillion, six hundred twenty-five billion, eight hundred forty-six million, eight hundred forty-five thousand, four hundred forty".