60461511840 has 288 divisors, whose sum is σ = 219315672576. Its totient is φ = 15115345920.

The previous prime is 60461511829. The next prime is 60461511863. The reversal of 60461511840 is 4811516406.

60461511840 is a `hidden beast` number, since 6 + 0 + 4 + 61 + 511 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 60461511795 and 60461511804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6433545 + ... + 6442935.

It is an arithmetic number, because the mean of its divisors is an integer number (761512752).

Almost surely, 2^60461511840 is an apocalyptic number.

60461511840 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 60461511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109657836288).

60461511840 is an abundant number, since it is smaller than the sum of its proper divisors (158854160736).

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

60461511840 is a wasteful number, since it uses less digits than its factorization.

60461511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9692 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 60461511840 in words is "sixty billion, four hundred sixty-one million, five hundred eleven thousand, eight hundred forty".