74071065600 has 1089 divisors, whose sum is σ = 320372881077. Its totient is φ = 16930529280.

The previous prime is 74071065581. The next prime is 74071065671. The reversal of 74071065600 is 656017047.

The square root of 74071065600 is 272160.

It is a perfect power (a square), and thus also a powerful number.

74071065600 is a `hidden beast` number, since 7 + 40 + 7 + 1 + 0 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26665583616 + 47405481984 = 163296^2 + 217728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 10581580797 + ... + 10581580803.

Almost surely, 2^74071065600 is an apocalyptic number.

74071065600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74071065600 is the 272160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74071065600

74071065600 is an abundant number, since it is smaller than the sum of its proper divisors (246301815477).

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

74071065600 is an frugal number, since it uses more digits than its factorization.

74071065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 74071065600 by its sum of digits (36), we get a square (2666558361600 = 1632960²).

74071065600 divided by its sum of digits (36) gives a square (2057529600 = 45360²).

The spelling of 74071065600 in words is "seventy-four billion, seventy-one million, sixty-five thousand, six hundred".