86737473768 has 32 divisors (see below), whose sum is σ = 236556747360. Its totient is φ = 26284082880.

The previous prime is 86737473761. The next prime is 86737473793.

86737473768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 86737473699 and 86737473708.

It is not an unprimeable number, because it can be changed into a prime (86737473761) 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 7 ways as a sum of consecutive naturals, for example, 164275255 + ... + 164275782.

It is an arithmetic number, because the mean of its divisors is an integer number (7392398355).

Almost surely, 2^86737473768 is an apocalyptic number.

86737473768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86737473768 is an abundant number, since it is smaller than the sum of its proper divisors (149819273592).

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

86737473768 is a wasteful number, since it uses less digits than its factorization.

86737473768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328551057 (or 328551053 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 86737473768 in words is "eighty-six billion, seven hundred thirty-seven million, four hundred seventy-three thousand, seven hundred sixty-eight".