60771140640 has 432 divisors, whose sum is σ = 242357595480. Its totient is φ = 13826211840.

The previous prime is 60771140629. The next prime is 60771140669. The reversal of 60771140640 is 4604117706.

60771140640 is a `hidden beast` number, since 6 + 0 + 7 + 7 + 1 + 1 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57594240144 + 3176900496 = 239988^2 + 56364^2 .

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 = 60771140595 and 60771140604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16156360 + ... + 16160120.

Almost surely, 2^60771140640 is an apocalyptic number.

60771140640 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 60771140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121178797740).

60771140640 is an abundant number, since it is smaller than the sum of its proper divisors (181586454840).

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

60771140640 is a wasteful number, since it uses less digits than its factorization.

60771140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 60771140640 in words is "sixty billion, seven hundred seventy-one million, one hundred forty thousand, six hundred forty".