60309872640 has 168 divisors, whose sum is σ = 209062742148. Its totient is φ = 16082534400.

The previous prime is 60309872573. The next prime is 60309872641. The reversal of 60309872640 is 4627890306.

60309872640 is a `hidden beast` number, since 6 + 0 + 309 + 87 + 264 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60303642624 + 6230016 = 245568^2 + 2496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (60309872641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286840 + ... + 450440.

Almost surely, 2^60309872640 is an apocalyptic number.

60309872640 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 60309872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104531371074).

60309872640 is an abundant number, since it is smaller than the sum of its proper divisors (148752869508).

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

60309872640 is a wasteful number, since it uses less digits than its factorization.

60309872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163638 (or 163611 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 60309872640 in words is "sixty billion, three hundred nine million, eight hundred seventy-two thousand, six hundred forty".