79286420640 has 768 divisors, whose sum is σ = 309013512192. Its totient is φ = 16697708544.

The previous prime is 79286420639. The next prime is 79286420641. The reversal of 79286420640 is 4602468297.

It is an interprime number because it is at equal distance from previous prime (79286420639) and next prime (79286420641).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79286420640.

It is not an unprimeable number, because it can be changed into a prime (79286420641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 301469149 + ... + 301469411.

It is an arithmetic number, because the mean of its divisors is an integer number (402361344).

Almost surely, 2^79286420640 is an apocalyptic number.

79286420640 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 79286420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154506756096).

79286420640 is an abundant number, since it is smaller than the sum of its proper divisors (229727091552).

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

79286420640 is a wasteful number, since it uses less digits than its factorization.

79286420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 79286420640 in words is "seventy-nine billion, two hundred eighty-six million, four hundred twenty thousand, six hundred forty".