67509012480 has 1536 divisors, whose sum is σ = 295877836800. Its totient is φ = 12740198400.

The previous prime is 67509012469. The next prime is 67509012481. The reversal of 67509012480 is 8421090576.

67509012480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (67509012481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1646561260 + ... + 1646561300.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 2^67509012480 is an apocalyptic number.

67509012480 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 67509012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147938918400).

67509012480 is an abundant number, since it is smaller than the sum of its proper divisors (228368824320).

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

67509012480 is a wasteful number, since it uses less digits than its factorization.

67509012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 67509012480 in words is "sixty-seven billion, five hundred nine million, twelve thousand, four hundred eighty".