67584000000 has 504 divisors, whose sum is σ = 245755916784. Its totient is φ = 16384000000.

The previous prime is 67583999999. The next prime is 67584000013. The reversal of 67584000000 is 48576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6143999995 + ... + 6144000005.

It is an arithmetic number, because the mean of its divisors is an integer number (487610946).

Almost surely, 2^67584000000 is an apocalyptic number.

67584000000 is a gapful number since it is divisible by the number (60) 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 67584000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122877958392).

67584000000 is an abundant number, since it is smaller than the sum of its proper divisors (178171916784).

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

67584000000 is an frugal number, since it uses more digits than its factorization.

67584000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 67584000000 its reverse (48576), we get a palindrome (67584048576).

The spelling of 67584000000 in words is "sixty-seven billion, five hundred eighty-four million", and thus it is an aban number.