67005480960 has 1024 divisors, whose sum is σ = 278581420800. Its totient is φ = 15288238080.

The previous prime is 67005480833. The next prime is 67005480967. The reversal of 67005480960 is 6908450076.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67005480967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3941498872 + ... + 3941498888.

Almost surely, 2^67005480960 is an apocalyptic number.

67005480960 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 67005480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139290710400).

67005480960 is an abundant number, since it is smaller than the sum of its proper divisors (211575939840).

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

67005480960 is an frugal number, since it uses more digits than its factorization.

67005480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 67005480960 in words is "sixty-seven billion, five million, four hundred eighty thousand, nine hundred sixty".