79287314641920 has 4752 divisors, whose sum is σ = 376989512964480. Its totient is φ = 15801827328000.

The previous prime is 79287314641741. The next prime is 79287314641921. The reversal of 79287314641920 is 2914641378297.

79287314641920 is a `hidden beast` number, since 7 + 9 + 2 + 8 + 73 + 146 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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 (79287314641921) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 525081553845 + ... + 525081553995.

Almost surely, 2^{79287314641920} is an apocalyptic number.

79287314641920 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 79287314641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188494756482240).

79287314641920 is an abundant number, since it is smaller than the sum of its proper divisors (297702198322560).

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

79287314641920 is a wasteful number, since it uses less digits than its factorization.

79287314641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 79287314641920 in words is "seventy-nine trillion, two hundred eighty-seven billion, three hundred fourteen million, six hundred forty-one thousand, nine hundred twenty".