86479684192440 has 768 divisors, whose sum is σ = 351495882915840. Its totient is φ = 17914248576000.

The previous prime is 86479684192379. The next prime is 86479684192459. The reversal of 86479684192440 is 4429148697468.

86479684192440 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 96 + 8 + 4 + 1 + 92 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24217215855 + ... + 24217219425.

It is an arithmetic number, because the mean of its divisors is an integer number (457676930880).

Almost surely, 2^{86479684192440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86479684192440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175747941457920).

86479684192440 is an abundant number, since it is smaller than the sum of its proper divisors (265016198723400).

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

86479684192440 is a wasteful number, since it uses less digits than its factorization.

86479684192440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

It can be divided in two parts, 864796841 and 92440, that added together give a square (864889281 = 29409²).

The spelling of 86479684192440 in words is "eighty-six trillion, four hundred seventy-nine billion, six hundred eighty-four million, one hundred ninety-two thousand, four hundred forty".