74628449280 has 2112 divisors, whose sum is σ = 360513054720. Its totient is φ = 14332723200.

The previous prime is 74628449227. The next prime is 74628449293. The reversal of 74628449280 is 8294482647.

74628449280 is a `hidden beast` number, since 7 + 4 + 628 + 4 + 4 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1820206060 + ... + 1820206100.

Almost surely, 2^74628449280 is an apocalyptic number.

74628449280 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 74628449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180256527360).

74628449280 is an abundant number, since it is smaller than the sum of its proper divisors (285884605440).

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

74628449280 is a wasteful number, since it uses less digits than its factorization.

74628449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 74628449280 in words is "seventy-four billion, six hundred twenty-eight million, four hundred forty-nine thousand, two hundred eighty".