74026531950336 has 864 divisors, whose sum is σ = 271942728744960. Its totient is φ = 19610829139968.

The previous prime is 74026531950281. The next prime is 74026531950377. The reversal of 74026531950336 is 63305913562047.

74026531950336 is a `hidden beast` number, since 7 + 4 + 0 + 26 + 531 + 9 + 50 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388767025 + ... + 388957391.

It is an arithmetic number, because the mean of its divisors is an integer number (314748528640).

Almost surely, 2^{74026531950336} is an apocalyptic number.

74026531950336 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 74026531950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135971364372480).

74026531950336 is an abundant number, since it is smaller than the sum of its proper divisors (197916196794624).

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

74026531950336 is a wasteful number, since it uses less digits than its factorization.

74026531950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190471 (or 190445 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 74026531950336 in words is "seventy-four trillion, twenty-six billion, five hundred thirty-one million, nine hundred fifty thousand, three hundred thirty-six".