60900829440 has 216 divisors, whose sum is σ = 213793112064. Its totient is φ = 14763724800.

The previous prime is 60900829387. The next prime is 60900829441. The reversal of 60900829440 is 4492800906.

It is a super-2 number, since 2×60900829440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60900829392 and 60900829401.

It is not an unprimeable number, because it can be changed into a prime (60900829441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 399105 + ... + 530175.

Almost surely, 2^60900829440 is an apocalyptic number.

60900829440 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 60900829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106896556032).

60900829440 is an abundant number, since it is smaller than the sum of its proper divisors (152892282624).

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

60900829440 is a wasteful number, since it uses less digits than its factorization.

60900829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131117 (or 131092 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 60900829440 in words is "sixty billion, nine hundred million, eight hundred twenty-nine thousand, four hundred forty".