60659400960 has 576 divisors, whose sum is σ = 222518016000. Its totient is φ = 15640289280.

The previous prime is 60659400943. The next prime is 60659400961. The reversal of 60659400960 is 6900495606.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (60659400961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144771631 + ... + 144772049.

It is an arithmetic number, because the mean of its divisors is an integer number (386316000).

Almost surely, 2^60659400960 is an apocalyptic number.

60659400960 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 60659400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008000).

60659400960 is an abundant number, since it is smaller than the sum of its proper divisors (161858615040).

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

60659400960 is a wasteful number, since it uses less digits than its factorization.

60659400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 60659400960 in words is "sixty billion, six hundred fifty-nine million, four hundred thousand, nine hundred sixty".