8467986240 has 672 divisors, whose sum is σ = 35361091584. Its totient is φ = 1888634880.

The previous prime is 8467986211. The next prime is 8467986251. The reversal of 8467986240 is 426897648.

8467986240 is a `hidden beast` number, since 8 + 4 + 6 + 7 + 9 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25582875 + ... + 25583205.

It is an arithmetic number, because the mean of its divisors is an integer number (52620672).

Almost surely, 2^8467986240 is an apocalyptic number.

8467986240 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 8467986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17680545792).

8467986240 is an abundant number, since it is smaller than the sum of its proper divisors (26893105344).

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

8467986240 is a wasteful number, since it uses less digits than its factorization.

8467986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8467986240 is about 92021.6617976441. The cubic root of 8467986240 is about 2038.2621878527.

The spelling of 8467986240 in words is "eight billion, four hundred sixty-seven million, nine hundred eighty-six thousand, two hundred forty".