60467004416000 has 1792 divisors, whose sum is σ = 196615124858880. Its totient is φ = 18042008371200.

The previous prime is 60467004415967. The next prime is 60467004416009. The reversal of 60467004416000 is 61440076406.

It is a tau number, because it is divible by the number of its divisors (1792).

It is not an unprimeable number, because it can be changed into a prime (60467004416009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190747647842 + ... + 190747648158.

It is an arithmetic number, because the mean of its divisors is an integer number (109718261640).

Almost surely, 2^{60467004416000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60467004416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98307562429440).

60467004416000 is an abundant number, since it is smaller than the sum of its proper divisors (136148120442880).

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

60467004416000 is a wasteful number, since it uses less digits than its factorization.

60467004416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 60467004416000 in words is "sixty trillion, four hundred sixty-seven billion, four million, four hundred sixteen thousand".