74511298068480 has 2432 divisors, whose sum is σ = 345499932072960. Its totient is φ = 14785424916480.

The previous prime is 74511298068409. The next prime is 74511298068521. The reversal of 74511298068480 is 8486089211547.

74511298068480 is a `hidden beast` number, since 7 + 4 + 5 + 1 + 1 + 2 + 98 + 0 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54747463000 + ... + 54747464360.

Almost surely, 2^{74511298068480} is an apocalyptic number.

74511298068480 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 74511298068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172749966036480).

74511298068480 is an abundant number, since it is smaller than the sum of its proper divisors (270988634004480).

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

74511298068480 is a wasteful number, since it uses less digits than its factorization.

74511298068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 74511298068480 in words is "seventy-four trillion, five hundred eleven billion, two hundred ninety-eight million, sixty-eight thousand, four hundred eighty".