74180800512 has 936 divisors, whose sum is σ = 280244252880. Its totient is φ = 19564167168.

The previous prime is 74180800501. The next prime is 74180800553. The reversal of 74180800512 is 21500808147.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×74180800512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5706215418 + ... + 5706215430.

Almost surely, 2^74180800512 is an apocalyptic number.

74180800512 is a gapful number since it is divisible by the number (72) 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 74180800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140122126440).

74180800512 is an abundant number, since it is smaller than the sum of its proper divisors (206063452368).

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

74180800512 is an frugal number, since it uses more digits than its factorization.

74180800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 74180800512 in words is "seventy-four billion, one hundred eighty million, eight hundred thousand, five hundred twelve".