867107082240 has 832 divisors, whose sum is σ = 3566820096000. Its totient is φ = 195735453696.

The previous prime is 867107082211. The next prime is 867107082253. The reversal of 867107082240 is 42280701768.

It is a super-2 number, since 2×867107082240² (a number of 25 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321268411 + ... + 321271109.

Almost surely, 2^867107082240 is an apocalyptic number.

867107082240 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 867107082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783410048000).

867107082240 is an abundant number, since it is smaller than the sum of its proper divisors (2699713013760).

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

867107082240 is a wasteful number, since it uses less digits than its factorization.

867107082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 867107082240 in words is "eight hundred sixty-seven billion, one hundred seven million, eighty-two thousand, two hundred forty".