85434264640 has 112 divisors (see below), whose sum is σ = 206616653568. Its totient is φ = 33644058624.

The previous prime is 85434264631. The next prime is 85434264679. The reversal of 85434264640 is 4646243458.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5694589 + ... + 5709571.

Almost surely, 2^85434264640 is an apocalyptic number.

85434264640 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 85434264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103308326784).

85434264640 is an abundant number, since it is smaller than the sum of its proper divisors (121182388928).

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

85434264640 is a wasteful number, since it uses less digits than its factorization.

85434264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15276 (or 15266 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 85434264640 in words is "eighty-five billion, four hundred thirty-four million, two hundred sixty-four thousand, six hundred forty".