60533360640 has 864 divisors, whose sum is σ = 235023155640. Its totient is φ = 14906032128.

The previous prime is 60533360599. The next prime is 60533360651. The reversal of 60533360640 is 4606333506.

It is a happy number.

60533360640 is a `hidden beast` number, since 6 + 0 + 5 + 3 + 3 + 3 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58107995136 + 2425365504 = 241056^2 + 49248^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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 = 60533360595 and 60533360604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1142138854 + ... + 1142138906.

Almost surely, 2^60533360640 is an apocalyptic number.

60533360640 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 60533360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117511577820).

60533360640 is an abundant number, since it is smaller than the sum of its proper divisors (174489795000).

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

60533360640 is an frugal number, since it uses more digits than its factorization.

60533360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 60533360640 in words is "sixty billion, five hundred thirty-three million, three hundred sixty thousand, six hundred forty".