60065014464 has 336 divisors, whose sum is σ = 221113331712. Its totient is φ = 15152265216.

The previous prime is 60065014447. The next prime is 60065014489. The reversal of 60065014464 is 46441056006.

60065014464 is a `hidden beast` number, since 600 + 6 + 5 + 0 + 1 + 4 + 46 + 4 = 666.

60065014464 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180657 + ... + 1230479.

It is an arithmetic number, because the mean of its divisors is an integer number (658075392).

Almost surely, 2^60065014464 is an apocalyptic number.

60065014464 is a gapful number since it is divisible by the number (64) 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 60065014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110556665856).

60065014464 is an abundant number, since it is smaller than the sum of its proper divisors (161048317248).

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

60065014464 is a wasteful number, since it uses less digits than its factorization.

60065014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49884 (or 49871 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 60065014464 in words is "sixty billion, sixty-five million, fourteen thousand, four hundred sixty-four".