74278621347840 has 4352 divisors, whose sum is σ = 353615381360640. Its totient is φ = 14529941471232.

The previous prime is 74278621347803. The next prime is 74278621347881. The reversal of 74278621347840 is 4874312687247.

74278621347840 is a `hidden beast` number, since 7 + 4 + 27 + 86 + 21 + 3 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4352).

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1108636139487 + ... + 1108636139553.

It is an arithmetic number, because the mean of its divisors is an integer number (81253534320).

Almost surely, 2^{74278621347840} is an apocalyptic number.

74278621347840 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 74278621347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176807690680320).

74278621347840 is an abundant number, since it is smaller than the sum of its proper divisors (279336760012800).

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

74278621347840 is an frugal number, since it uses more digits than its factorization.

74278621347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 74278621347840 in words is "seventy-four trillion, two hundred seventy-eight billion, six hundred twenty-one million, three hundred forty-seven thousand, eight hundred forty".