60642858832640 has 288 divisors, whose sum is σ = 169941812382720. Its totient is φ = 20304046080000.

The previous prime is 60642858832637. The next prime is 60642858832643. The reversal of 60642858832640 is 4623885824606.

It is an interprime number because it is at equal distance from previous prime (60642858832637) and next prime (60642858832643).

It is a super-3 number, since 3×60642858832640³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (60642858832643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79444790 + ... + 80204490.

It is an arithmetic number, because the mean of its divisors is an integer number (590075737440).

Almost surely, 2^{60642858832640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60642858832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84970906191360).

60642858832640 is an abundant number, since it is smaller than the sum of its proper divisors (109298953550080).

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

60642858832640 is a wasteful number, since it uses less digits than its factorization.

60642858832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759939 (or 759925 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 62.

The spelling of 60642858832640 in words is "sixty trillion, six hundred forty-two billion, eight hundred fifty-eight million, eight hundred thirty-two thousand, six hundred forty".