60735060032040 has 768 divisors, whose sum is σ = 212893728840000. Its totient is φ = 14962566758400.

The previous prime is 60735060032033. The next prime is 60735060032063. The reversal of 60735060032040 is 4023006053706.

60735060032040 is a `hidden beast` number, since 6 + 0 + 7 + 3 + 5 + 0 + 600 + 3 + 2 + 0 + 40 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 7901147566404 + 52833912465636 = 2810898^2 + 7268694^2 .

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 = 60735060031986 and 60735060032004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39209205186 + ... + 39209206734.

Almost surely, 2^{60735060032040} is an apocalyptic number.

60735060032040 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 60735060032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106446864420000).

60735060032040 is an abundant number, since it is smaller than the sum of its proper divisors (152158668807960).

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

60735060032040 is a wasteful number, since it uses less digits than its factorization.

60735060032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 60735060032040 its reverse (4023006053706), we get a palindrome (64758066085746).

The spelling of 60735060032040 in words is "sixty trillion, seven hundred thirty-five billion, sixty million, thirty-two thousand, forty".