864502034880 has 224 divisors, whose sum is σ = 2995008203520. Its totient is φ = 209528135680.

The previous prime is 864502034867. The next prime is 864502034911. The reversal of 864502034880 is 88430205468.

It is a super-2 number, since 2×864502034880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72403951 + ... + 72415889.

Almost surely, 2^864502034880 is an apocalyptic number.

864502034880 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 864502034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497504101760).

864502034880 is an abundant number, since it is smaller than the sum of its proper divisors (2130506168640).

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

864502034880 is a wasteful number, since it uses less digits than its factorization.

864502034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 864502034880 in words is "eight hundred sixty-four billion, five hundred two million, thirty-four thousand, eight hundred eighty".