8179580640 has 768 divisors, whose sum is σ = 34000404480. Its totient is φ = 1616947200.

The previous prime is 8179580623. The next prime is 8179580659. The reversal of 8179580640 is 460859718.

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 8179580640.

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 127 ways as a sum of consecutive naturals, for example, 138636931 + ... + 138636989.

It is an arithmetic number, because the mean of its divisors is an integer number (44271360).

Almost surely, 2^8179580640 is an apocalyptic number.

8179580640 is a gapful number since it is divisible by the number (80) 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 8179580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000202240).

8179580640 is an abundant number, since it is smaller than the sum of its proper divisors (25820823840).

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

8179580640 is a wasteful number, since it uses less digits than its factorization.

8179580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 8179580640 is about 90441.0340498161. The cubic root of 8179580640 is about 2014.8544528071.

The spelling of 8179580640 in words is "eight billion, one hundred seventy-nine million, five hundred eighty thousand, six hundred forty".