74516338585500 has 192 divisors, whose sum is σ = 248244237416448. Its totient is φ = 17014870348800.

The previous prime is 74516338585439. The next prime is 74516338585523. The reversal of 74516338585500 is 558583361547.

It is a super-2 number, since 2×74516338585500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626569 + ... + 13890431.

It is an arithmetic number, because the mean of its divisors is an integer number (1292938736544).

Almost surely, 2^{74516338585500} is an apocalyptic number.

74516338585500 is a gapful number since it is divisible by the number (70) 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 74516338585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124122118708224).

74516338585500 is an abundant number, since it is smaller than the sum of its proper divisors (173727898830948).

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

74516338585500 is a wasteful number, since it uses less digits than its factorization.

74516338585500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264869 (or 7264857 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 60.

The spelling of 74516338585500 in words is "seventy-four trillion, five hundred sixteen billion, three hundred thirty-eight million, five hundred eighty-five thousand, five hundred".