60145664040 has 192 divisors, whose sum is σ = 243707218560. Its totient is φ = 12497794560.

The previous prime is 60145664021. The next prime is 60145664053. The reversal of 60145664040 is 4046654106.

60145664040 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 5 + 6 + 640 + 4 + 0 = 666.

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 = 60145663986 and 60145664004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057159 + ... + 1112598.

It is an arithmetic number, because the mean of its divisors is an integer number (1269308430).

Almost surely, 2^60145664040 is an apocalyptic number.

60145664040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60145664040 is an abundant number, since it is smaller than the sum of its proper divisors (183561554520).

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

60145664040 is a wasteful number, since it uses less digits than its factorization.

60145664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169792 (or 2169785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 60145664040 in words is "sixty billion, one hundred forty-five million, six hundred sixty-four thousand, forty".