74727273600 has 1152 divisors, whose sum is σ = 335235240000. Its totient is φ = 16164126720.

The previous prime is 74727273559. The next prime is 74727273611. The reversal of 74727273600 is 637272747.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×74727273600³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80437936 + ... + 80438864.

Almost surely, 2^74727273600 is an apocalyptic number.

74727273600 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 74727273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167617620000).

74727273600 is an abundant number, since it is smaller than the sum of its proper divisors (260507966400).

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

74727273600 is a wasteful number, since it uses less digits than its factorization.

74727273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 74727273600 in words is "seventy-four billion, seven hundred twenty-seven million, two hundred seventy-three thousand, six hundred".