74498884046496 has 3840 divisors, whose sum is σ = 304839013248000. Its totient is φ = 17666442952704.

The previous prime is 74498884046491. The next prime is 74498884046579. The reversal of 74498884046496 is 69464048889447.

74498884046496 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 8 + 8 + 84 + 0 + 46 + 496 = 666.

It is a super-3 number, since 3×74498884046496³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (74498884046491) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 430629387466 + ... + 430629387638.

It is an arithmetic number, because the mean of its divisors is an integer number (79385159700).

Almost surely, 2^{74498884046496} is an apocalyptic number.

74498884046496 is a gapful number since it is divisible by the number (76) 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 74498884046496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152419506624000).

74498884046496 is an abundant number, since it is smaller than the sum of its proper divisors (230340129201504).

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

74498884046496 is a wasteful number, since it uses less digits than its factorization.

74498884046496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10701766656, while the sum is 81.

The spelling of 74498884046496 in words is "seventy-four trillion, four hundred ninety-eight billion, eight hundred eighty-four million, forty-six thousand, four hundred ninety-six".