60067408654080 has 1152 divisors, whose sum is σ = 224679619584000. Its totient is φ = 15176230502400.

The previous prime is 60067408654021. The next prime is 60067408654103. The reversal of 60067408654080 is 8045680476006.

60067408654080 is a `hidden beast` number, since 6 + 0 + 0 + 67 + 408 + 65 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 14835119896 + ... + 14835123944.

It is an arithmetic number, because the mean of its divisors is an integer number (195034392000).

Almost surely, 2^{60067408654080} is an apocalyptic number.

60067408654080 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 60067408654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112339809792000).

60067408654080 is an abundant number, since it is smaller than the sum of its proper divisors (164612210929920).

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

60067408654080 is a wasteful number, since it uses less digits than its factorization.

60067408654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 60067408654080 in words is "sixty trillion, sixty-seven billion, four hundred eight million, six hundred fifty-four thousand, eighty".