86729466492768 has 384 divisors, whose sum is σ = 265088442769920. Its totient is φ = 24536678400000.

The previous prime is 86729466492749. The next prime is 86729466492811.

86729466492768 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86729466492768³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7057481568 + ... + 7057493856.

It is an arithmetic number, because the mean of its divisors is an integer number (690334486380).

Almost surely, 2^{86729466492768} is an apocalyptic number.

86729466492768 is a gapful number since it is divisible by the number (88) 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 86729466492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132544221384960).

86729466492768 is an abundant number, since it is smaller than the sum of its proper divisors (178358976277152).

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

86729466492768 is a wasteful number, since it uses less digits than its factorization.

86729466492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15462 (or 15454 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 84.

The spelling of 86729466492768 in words is "eighty-six trillion, seven hundred twenty-nine billion, four hundred sixty-six million, four hundred ninety-two thousand, seven hundred sixty-eight".