864471079040 has 128 divisors (see below), whose sum is σ = 2134518912000. Its totient is φ = 334441451520.

The previous prime is 864471079039. The next prime is 864471079057. The reversal of 864471079040 is 40970174468.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 864471079040.

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, 37267766 + ... + 37290954.

It is an arithmetic number, because the mean of its divisors is an integer number (16675929000).

Almost surely, 2^864471079040 is an apocalyptic number.

864471079040 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 864471079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067259456000).

864471079040 is an abundant number, since it is smaller than the sum of its proper divisors (1270047832960).

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

864471079040 is a wasteful number, since it uses less digits than its factorization.

864471079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25118 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 864471079040 in words is "eight hundred sixty-four billion, four hundred seventy-one million, seventy-nine thousand, forty".