74325081600 has 2400 divisors, whose sum is σ = 368378208000. Its totient is φ = 14631321600.

The previous prime is 74325081583. The next prime is 74325081631. The reversal of 74325081600 is 618052347.

74325081600 is a `hidden beast` number, since 7 + 43 + 2 + 5 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3911846391 + ... + 3911846409.

It is an arithmetic number, because the mean of its divisors is an integer number (153490920).

Almost surely, 2^74325081600 is an apocalyptic number.

74325081600 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 74325081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184189104000).

74325081600 is an abundant number, since it is smaller than the sum of its proper divisors (294053126400).

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

74325081600 is a wasteful number, since it uses less digits than its factorization.

74325081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 74325081600 in words is "seventy-four billion, three hundred twenty-five million, eighty-one thousand, six hundred".