74098458720 has 1536 divisors, whose sum is σ = 329204736000. Its totient is φ = 15298191360.

The previous prime is 74098458719. The next prime is 74098458727. The reversal of 74098458720 is 2785489047.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74098458727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 692508907 + ... + 692509013.

It is an arithmetic number, because the mean of its divisors is an integer number (214326000).

Almost surely, 2^74098458720 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 74098458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368000).

74098458720 is an abundant number, since it is smaller than the sum of its proper divisors (255106277280).

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

74098458720 is a wasteful number, since it uses less digits than its factorization.

74098458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 74098458720 in words is "seventy-four billion, ninety-eight million, four hundred fifty-eight thousand, seven hundred twenty".