74713985280 has 1008 divisors, whose sum is σ = 304015239360. Its totient is φ = 17418240000.

The previous prime is 74713985261. The next prime is 74713985293. The reversal of 74713985280 is 8258931747.

It is a happy number.

74713985280 is a `hidden beast` number, since 7 + 471 + 3 + 98 + 5 + 2 + 80 = 666.

It is a super-3 number, since 3×74713985280³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 297665155 + ... + 297665405.

It is an arithmetic number, because the mean of its divisors is an integer number (301602420).

Almost surely, 2^74713985280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74713985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152007619680).

74713985280 is an abundant number, since it is smaller than the sum of its proper divisors (229301254080).

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

74713985280 is a wasteful number, since it uses less digits than its factorization.

74713985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 74713985280 in words is "seventy-four billion, seven hundred thirteen million, nine hundred eighty-five thousand, two hundred eighty".