79327603031040 has 2816 divisors, whose sum is σ = 354600464547840. Its totient is φ = 16578374270976.

The previous prime is 79327603031029. The next prime is 79327603031051. The reversal of 79327603031040 is 4013030672397.

It is a happy number.

79327603031040 is a `hidden beast` number, since 7 + 9 + 3 + 2 + 7 + 603 + 0 + 31 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79327603031029) and next prime (79327603031051).

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 255 ways as a sum of consecutive naturals, for example, 129408813774 + ... + 129408814386.

Almost surely, 2^{79327603031040} is an apocalyptic number.

79327603031040 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 79327603031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177300232273920).

79327603031040 is an abundant number, since it is smaller than the sum of its proper divisors (275272861516800).

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

79327603031040 is a wasteful number, since it uses less digits than its factorization.

79327603031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 79327603031040 in words is "seventy-nine trillion, three hundred twenty-seven billion, six hundred three million, thirty-one thousand, forty".