60414740640 has 288 divisors, whose sum is σ = 211135631616. Its totient is φ = 15726735360.

The previous prime is 60414740623. The next prime is 60414740653. The reversal of 60414740640 is 4604741406.

60414740640 is a `hidden beast` number, since 6 + 0 + 4 + 1 + 4 + 7 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 60414740595 and 60414740604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10527852 + ... + 10533588.

It is an arithmetic number, because the mean of its divisors is an integer number (733109832).

Almost surely, 2^60414740640 is an apocalyptic number.

60414740640 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 60414740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105567815808).

60414740640 is an abundant number, since it is smaller than the sum of its proper divisors (150720890976).

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

60414740640 is a wasteful number, since it uses less digits than its factorization.

60414740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 60414740640 in words is "sixty billion, four hundred fourteen million, seven hundred forty thousand, six hundred forty".