74494328832000 has 3168 divisors, whose sum is σ = 347724628078464. Its totient is φ = 15479341056000.

The previous prime is 74494328831983. The next prime is 74494328832059. The reversal of 74494328832000 is 23882349447.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 6! ⋅ (3!)³.

74494328832000 is a `hidden beast` number, since 74 + 4 + 94 + 3 + 288 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 6772211711995 + ... + 6772211712005.

Almost surely, 2^{74494328832000} is an apocalyptic number.

74494328832000 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 74494328832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173862314039232).

74494328832000 is an abundant number, since it is smaller than the sum of its proper divisors (273230299246464).

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

74494328832000 is an frugal number, since it uses more digits than its factorization.

74494328832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 74494328832000 in words is "seventy-four trillion, four hundred ninety-four billion, three hundred twenty-eight million, eight hundred thirty-two thousand".