74455434900 has 1440 divisors, whose sum is σ = 325065861120. Its totient is φ = 14276736000.

The previous prime is 74455434869. The next prime is 74455434941. The reversal of 74455434900 is 943455447.

74455434900 is a `hidden beast` number, since 7 + 4 + 4 + 554 + 3 + 4 + 90 + 0 = 666.

It is a super-2 number, since 2×74455434900² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 722868249 + ... + 722868351.

Almost surely, 2^74455434900 is an apocalyptic number.

74455434900 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 74455434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162532930560).

74455434900 is an abundant number, since it is smaller than the sum of its proper divisors (250610426220).

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

74455434900 is a wasteful number, since it uses less digits than its factorization.

74455434900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 74455434900 in words is "seventy-four billion, four hundred fifty-five million, four hundred thirty-four thousand, nine hundred".