86364437040 has 960 divisors, whose sum is σ = 353718503424. Its totient is φ = 18477268992.

The previous prime is 86364437039. The next prime is 86364437057. The reversal of 86364437040 is 4073446368.

86364437040 is a `hidden beast` number, since 8 + 636 + 4 + 4 + 3 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×86364437040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 838489629 + ... + 838489731.

Almost surely, 2^86364437040 is an apocalyptic number.

86364437040 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 86364437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176859251712).

86364437040 is an abundant number, since it is smaller than the sum of its proper divisors (267354066384).

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

86364437040 is a wasteful number, since it uses less digits than its factorization.

86364437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 86364437040 in words is "eighty-six billion, three hundred sixty-four million, four hundred thirty-seven thousand, forty".