60064407760500 has 2304 divisors, whose sum is σ = 248042051712000. Its totient is φ = 12003360768000.

The previous prime is 60064407760481. The next prime is 60064407760579. The reversal of 60064407760500 is 506770446006.

It is a happy number.

It is a super-2 number, since 2×60064407760500² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 18717482896 + ... + 18717486104.

It is an arithmetic number, because the mean of its divisors is an integer number (107657140500).

Almost surely, 2^{60064407760500} is an apocalyptic number.

60064407760500 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 60064407760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124021025856000).

60064407760500 is an abundant number, since it is smaller than the sum of its proper divisors (187977643951500).

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

60064407760500 is a wasteful number, since it uses less digits than its factorization.

60064407760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 60064407760500 in words is "sixty trillion, sixty-four billion, four hundred seven million, seven hundred sixty thousand, five hundred".