60461646000 has 640 divisors, whose sum is σ = 230419537920. Its totient is φ = 13353984000.

The previous prime is 60461645957. The next prime is 60461646001. The reversal of 60461646000 is 64616406.

It is a super-2 number, since 2×60461646000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60461646001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215165860 + ... + 215166140.

It is an arithmetic number, because the mean of its divisors is an integer number (360030528).

Almost surely, 2^60461646000 is an apocalyptic number.

60461646000 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 60461646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115209768960).

60461646000 is an abundant number, since it is smaller than the sum of its proper divisors (169957891920).

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

60461646000 is a wasteful number, since it uses less digits than its factorization.

60461646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 60461646000 in words is "sixty billion, four hundred sixty-one million, six hundred forty-six thousand".