60642306616320 has 1408 divisors, whose sum is σ = 254530139996160. Its totient is φ = 13498417152000.

The previous prime is 60642306616277. The next prime is 60642306616363. The reversal of 60642306616320 is 2361660324606.

60642306616320 is a `hidden beast` number, since 6 + 0 + 6 + 4 + 2 + 3 + 0 + 6 + 6 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60642306616277) and next prime (60642306616363).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3775741090 + ... + 3775757150.

Almost surely, 2^{60642306616320} is an apocalyptic number.

60642306616320 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 60642306616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127265069998080).

60642306616320 is an abundant number, since it is smaller than the sum of its proper divisors (193887833379840).

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

60642306616320 is a wasteful number, since it uses less digits than its factorization.

60642306616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 60642306616320 in words is "sixty trillion, six hundred forty-two billion, three hundred six million, six hundred sixteen thousand, three hundred twenty".