74640441880900 has 243 divisors, whose sum is σ = 190839535461309. Its totient is φ = 25265680762560.

The previous prime is 74640441880897. The next prime is 74640441880931. The reversal of 74640441880900 is 908814404647.

The square root of 74640441880900 is 8639470.

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

It can be written as a sum of positive squares in only one way, i.e., 26870559077124 + 47769882803776 = 5183682^2 + 6911576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50195319957 + ... + 50195321443.

Almost surely, 2^{74640441880900} is an apocalyptic number.

74640441880900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74640441880900 is the 8639470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74640441880900

74640441880900 is an abundant number, since it is smaller than the sum of its proper divisors (116199093580409).

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

74640441880900 is an equidigital number, since it uses as much as digits as its factorization.

74640441880900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 74640441880900 in words is "seventy-four trillion, six hundred forty billion, four hundred forty-one million, eight hundred eighty thousand, nine hundred".