74643403161600 has 4320 divisors, whose sum is σ = 354953114880000. Its totient is φ = 14857619374080.

The previous prime is 74643403161529. The next prime is 74643403161647. The reversal of 74643403161600 is 616130434647.

74643403161600 is a `hidden beast` number, since 7 + 4 + 6 + 4 + 3 + 4 + 0 + 31 + 6 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 312315494281 + ... + 312315494519.

Almost surely, 2^{74643403161600} is an apocalyptic number.

74643403161600 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 74643403161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177476557440000).

74643403161600 is an abundant number, since it is smaller than the sum of its proper divisors (280309711718400).

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

74643403161600 is a wasteful number, since it uses less digits than its factorization.

74643403161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74643403161600 in words is "seventy-four trillion, six hundred forty-three billion, four hundred three million, one hundred sixty-one thousand, six hundred".