60414648000 has 896 divisors, whose sum is σ = 239645952000. Its totient is φ = 13396992000.

The previous prime is 60414647999. The next prime is 60414648017. The reversal of 60414648000 is 84641406.

60414648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 337511911 + ... + 337512089.

It is an arithmetic number, because the mean of its divisors is an integer number (267462000).

Almost surely, 2^60414648000 is an apocalyptic number.

60414648000 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 60414648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976000).

60414648000 is an abundant number, since it is smaller than the sum of its proper divisors (179231304000).

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

60414648000 is a wasteful number, since it uses less digits than its factorization.

60414648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 60414648000 in words is "sixty billion, four hundred fourteen million, six hundred forty-eight thousand".