74830549248 has 576 divisors, whose sum is σ = 273981030400. Its totient is φ = 19617914880.

The previous prime is 74830549231. The next prime is 74830549271. The reversal of 74830549248 is 84294503847.

74830549248 is a `hidden beast` number, since 7 + 48 + 30 + 549 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×74830549248² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 74830549194 and 74830549203.

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, 170456613 + ... + 170457051.

Almost surely, 2^74830549248 is an apocalyptic number.

74830549248 is a gapful number since it is divisible by the number (78) 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 74830549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136990515200).

74830549248 is an abundant number, since it is smaller than the sum of its proper divisors (199150481152).

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

74830549248 is a wasteful number, since it uses less digits than its factorization.

74830549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 74830549248 in words is "seventy-four billion, eight hundred thirty million, five hundred forty-nine thousand, two hundred forty-eight".